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Date: Thu, 7 Sep 2006 12:12:01 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Peter Ouwehand <Peter@MATHS.uct.ac.za>
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>
Subject: Re: shape of congruence lattices
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Hi, Peter-

I'm posting the manuscript today. I attached a copy to this email.
I hope that doesn't cause problems, due to its size.

In fact, please reply to this email so that I know that there was
no problem in transmission.

Comments and suggestions are welcome!

Yours,
Keith
-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From kearnes@euclid.Colorado.EDU Thu Sep  7 12:15:07 2006 -0600
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From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Lipparini <lipparin@mat.uniroma2.it>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
Subject: Re: book
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> I was visiting your web page, and I have found a link to your joint book
> with Emil, but my browser is unable to open the link.
>
> Mayby there is some fault in my browser; anyway I am sure that the book is
> really interesting and, if a preprint is actually available, I would be
> very happy if you could help me with the link, or send me a copy in any
> format.

Sorry for the delay. We decided to rewrite a chapter.

I'm posting the manuscript today. I attached a copy to this email.
I hope that doesn't cause problems, due to its size.
In fact, please reply to this email so that I know that there was
no problem in transmission.

We are interested in any comments, corrections or suggestions
you may have.

Yours,
Keith
-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From kearnes@euclid.Colorado.EDU Thu Sep  7 12:20:21 2006 -0600
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Date: Thu, 7 Sep 2006 12:20:19 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: mth_jws11@shsu.edu
cc: "'Keith A. Kearnes'" <Keith.Kearnes@Colorado.EDU>
Subject: Re: Manuscript
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> Keith,
>
> Greetings.  Attached is a draft of a paper I've been working on with one of
> Jennifer Hyndman's students.  It relates some congruence lattice questions
> to trying to interpolate operations on finite lattices by terms.

Here's one for you!

Comments, corrections and suggestions are welcome.

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From kearnes@euclid.Colorado.EDU Thu Sep  7 12:26:00 2006 -0600
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Date: Thu, 7 Sep 2006 12:25:58 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Ralph Freese <ralph@math.hawaii.edu>
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>
Subject: the shape of congruence lattices
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Dear Ralph-

I traveled a lot this summer, but had time to make the corrections
suggested by Freese, Lampe, Nation by mid-summer. Emil then asked me to
rewrite Chapter 1, which took a long time. I am planning to post
the pdf file to my web page today, but I thought I'd send you
a copy of it directly.

I hope the size doesn't cause problems with your mail spool.
In fact, please reply to this message so that I know that you
received it.

Comments, corrections and suggestions are welcome!

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From kearnes@euclid.Colorado.EDU Thu Sep  7 12:33:16 2006 -0600
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From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Ralph McKenzie <mckenzie@atlas.math.Vanderbilt.Edu>
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Dear Ralph-

Part of the reason that I didn't finish the write-up of
the Kearnes-Szendrei paper on clones of algebras with
cube terms (which has our proof that (k-cube+CD => k-nuf) in July
is that I was trying to finish my monograph with Emil.
I thought I was done, and was ready to post the manuscript
to my web page and submit it to the AMS Memoirs,
but Emil told me he didn't like the introductory
chapter. It took me several weeks to rewrite it.

I have attached a PDF file of the book to this message.
I hope the size doesn't cause problems with your mail spool.
In fact, please reply to this message so that I know that you
received it.

Comments, corrections and suggestions are welcome!

Yours,
Keith
-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From Peter@MATHS.uct.ac.za  Tue Jul  4 03:49:11 2006
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Date: Tue, 04 Jul 2006 11:49:08 +0200
From: Peter Ouwehand <Peter@MATHS.uct.ac.za>
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Dear Prof Kearnes

On your website, you have a link to a pdf preprint for your book "The
shape of congruence lattices", but I get a "Page cannot be found"
message when I click on the link.  Is it possible for you to email me a
copy? I apologize if I'm being too presumptuous -- as far as I can make
out, the book has not yet been published.

Best,

Peter Ouwehand
-- 
--------------------------------------------------
Peter Ouwehand
Senior Lecturer
Department of Mathematics and Applied Mathematics
University of Cape Town
peter@maths.uct.ac.za
tel (021) 650 3198
cel  083 697 8425
fax (021) 650 2334

From lipparin@axp.mat.uniroma2.it  Fri Jul  7 07:16:19 2006
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Hi Keith,

I was visiting your web page, and I have found a link to your joint book
with Emil, but my browser is unable to open the link.

Mayby there is some fault in my browser; anyway I am sure that the book is
really interesting and, if a preprint is actually available, I would be
very happy if you could help me with the link, or send me a copy in any
format.

All the best

Paolo




From kearnes@euclid.Colorado.EDU Thu Sep  7 13:38:11 2006 -0600
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Date: Thu, 7 Sep 2006 13:38:09 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Ross Willard <rdwillard@uwaterloo.ca>
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>
Subject: the shape of congruence lattices 
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Dear Ross-

I intended to have this done by mid summer, but
Emil asked me to rewrite Chapter 1, which took a long time.
I am planning to post the pdf file to my web page today,
but I thought I'd send you a copy of it directly.

I hope the size doesn't cause problems with your mail spool.
In fact, please reply to this message so that I know that you
received it.

Comments, corrections and suggestions are welcome!
---
In unrelated math news, Agi and I extended our results on clones
of Maltsev algebras to clones of algebras with a cube term.
My student Matt used the earlier version on clones of
groups to prove his duality theorem, and there is a corresponding
duality theorem that results for algebras with a cube term.
(Something like: If A has a cube term, satisfies C1 hereditarily,
and satisfies some condition on homomorphisms between subalgebras,
then A is dualizable.)

Our result yields another proof that (k-cube + CD => k-nuf).

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707
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From ralph.n.mckenzie@vanderbilt.edu  Thu Sep  7 22:48:44 2006
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Date: Thu, 07 Sep 2006 23:48:40 -0500
From: "Mckenzie, Ralph N" <ralph.n.mckenzie@vanderbilt.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>
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Keith,

I did receive it.  I am quite excited to finally
have the opportunity to read this!

Ralph


--On Thursday, September 07, 2006 12:33 PM -0600 "Keith A. Kearnes" 
<Keith.Kearnes@Colorado.EDU> wrote:

> Dear Ralph-
>
> Part of the reason that I didn't finish the write-up of
> the Kearnes-Szendrei paper on clones of algebras with
> cube terms (which has our proof that (k-cube+CD => k-nuf) in July
> is that I was trying to finish my monograph with Emil.
> I thought I was done, and was ready to post the manuscript
> to my web page and submit it to the AMS Memoirs,
> but Emil told me he didn't like the introductory
> chapter. It took me several weeks to rewrite it.
>
> I have attached a PDF file of the book to this message.
> I hope the size doesn't cause problems with your mail spool.
> In fact, please reply to this message so that I know that you
> received it.
>
> Comments, corrections and suggestions are welcome!
>
> Yours,
> Keith
> --
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707



-----------------------------------------------------------------
Mckenzie, Ralph N
Vanderbilt University
Email: ralph.n.mckenzie@Vanderbilt.Edu

From Peter@MATHS.uct.ac.za  Fri Sep  8 00:12:50 2006
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Date: Fri, 08 Sep 2006 08:12:41 +0200
From: Peter Ouwehand <Peter@MATHS.uct.ac.za>
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Dear Keith,

Thanks very much! It came through without any problems, and I'm very
keen to get my teeth into it.

Best,

Peter Ouwehand

"Keith A. Kearnes" wrote:
> 
> Hi, Peter-
> 
> I'm posting the manuscript today. I attached a copy to this email.
> I hope that doesn't cause problems, due to its size.
> 
> In fact, please reply to this email so that I know that there was
> no problem in transmission.
> 
> Comments and suggestions are welcome!
> 
> Yours,
> Keith
> --
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
> 
>   ------------------------------------------------------------------------
>                       Name: cong.pdf
>    cong.pdf           Type: Portable Document Format (APPLICATION/PDF)
>                   Encoding: BASE64
>            Download Status: Not downloaded with message

-- 
--------------------------------------------------
Peter Ouwehand
Senior Lecturer
Department of Mathematics and Applied Mathematics
University of Cape Town
peter@maths.uct.ac.za
tel (021) 650 3198
cel  083 697 8425
fax (021) 650 2334
--------------------------------------------------

"Just at present, almost all university activities in 
Britain are described in the language of accountancy.
So even an activity such as philosophy is described [...] in terms
of deliverability, production targets, output monitoring, 
measuring, auditing, appraisal, value-added, point-of-service
strategic resource allocations, and other horrors[...] 
grotesquely unfitted to describing attempts to understand
the world."
[Simon Blackburn in "Truth: A Guide for the Perplexed".]

From fred.wehrung@math.unicaen.fr  Fri Sep  8 00:57:12 2006
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Date: Fri, 8 Sep 2006 08:57:00 +0200 (CEST)
X-ASG-Orig-Subj: Re: [univalg] preprint
Subject: Re: [univalg] preprint
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Dear Keith,

Finally it came! I clicked on the link faster than my own shadow. Thanks!!

Best regards, Fred

> At the Gratzer-Schmidt conference in June several people
> asked when a copy of my monograph with Emil Kiss on congruence
> identities would be available. I told them I would make a
> preprint available `later this summer'. It is still summer
> until 4:02am September 23, and I just posted it, so I didn't
> lie this time.
>
> For those interested, the PDF file for the monograph can be
> downloaded from
> 	http://spot.colorado.edu/~kearnes/research.html
>
> Emil and I welcome comments, corrections and suggestions!
>
> Yours,
> Keith


-- 
Friedrich Wehrung
LMNO, CNRS UMR 6139
Universit\'e de Caen, Campus 2
D\'epartement de Math\'ematiques, BP 5186
14032 Caen cedex
FRANCE

e-mail: wehrung@math.unicaen.fr
alternate e-mail: fwehrung@yahoo.fr

URL: http://www.math.unicaen.fr/~wehrung

From lipparin@axp.mat.uniroma2.it  Fri Sep  8 02:21:30 2006
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Hi Keith,

Thank you very much.
I could open the file without problems; I also tried to download it from
your page, and this worked perfectly, too.
I am going to look at it soon. If I have any comment, I will let you
kmow.
Thank you again,

Paolo



On Thu, 7 Sep 2006, Keith A. Kearnes wrote:

>
> Sorry for the delay. We decided to rewrite a chapter.
>
> I'm posting the manuscript today. I attached a copy to this email.
> I hope that doesn't cause problems, due to its size.
> In fact, please reply to this email so that I know that there was
> no problem in transmission.
>
> We are interested in any comments, corrections or suggestions
> you may have.
>
> Yours,
> Keith
> --
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707


From ralph@math.hawaii.edu  Sat Sep  9 09:47:03 2006
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Date: Sat, 9 Sep 2006 05:47:12 -1000 (HST)
From: Ralph Freese <ralph@math.hawaii.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
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Hi Keith,

I am also traveling now---in NYC right now. I will go up to New Paltz 
next week (and have better internet connection). I will give a talk which 
will basically be the same as the one in Budapest. The week after that I 
will go to McMaster and visit Matt. Then a few days vacation and then 
California (basically more vacation but I will also visit Peter Jipsen). I 
will be back in Hawaii mid October and hopefully have some some time for 
work.

  Ralph

On Thu, 7 Sep 2006, Keith A. Kearnes wrote:

> Dear Ralph-
> 
> I traveled a lot this summer, but had time to make the corrections
> suggested by Freese, Lampe, Nation by mid-summer. Emil then asked me to
> rewrite Chapter 1, which took a long time. I am planning to post
> the pdf file to my web page today, but I thought I'd send you
> a copy of it directly.
> 
> I hope the size doesn't cause problems with your mail spool.
> In fact, please reply to this message so that I know that you
> received it.
> 
> Comments, corrections and suggestions are welcome!
> 
> Yours,
> Keith
> 
> 

From kearnes@euclid.Colorado.EDU  Mon Sep 11 12:29:01 2006
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Date: Mon, 11 Sep 2006 12:29:00 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Lipparini <lipparin@mat.uniroma2.it>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
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> I noticed a few misprints which I list below (maybe you already noticed
> them).

Thanks! I will incorporate your suggestions.

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
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From kearnes@euclid.Colorado.EDU  Mon Sep 11 14:26:16 2006
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 <20060906133608.GA1699@cs.elte.hu> <Pine.GSO.4.58.0609111235080.21623@euclid.Colorado.EDU>
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I put the source files for Cong on abel.
To tex it, you have to ``latex cong'' a couple of times,
then `makeindex cong', then latex again.

Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
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Please, send the source, too.

Emil

From lipparin@axp.mat.uniroma2.it  Sun Sep 10 06:51:33 2006
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Hi Keith,

the results in the book are very interesting, and the proofs appear to
be really clear (though, of course, I have not had time yet to go through
all the details).

I noticed a few misprints which I list below (maybe you already noticed
them).

At the beginning of Example 2.13 on p. 24 you write "That statement that".

On p.72, line 9 from below, "is not" is repeated twice.

In the line before the statement of Theorem 5.2 on page 88 "every" is
repeated twice.

If I have more substantial comments I will let you know.

All the best,

Paolo

On Thu, 7 Sep 2006, Keith A. Kearnes wrote:

> We are interested in any comments, corrections or suggestions
> you may have.

From kearnes@euclid.Colorado.EDU Thu Sep  7 14:01:48 2006 -0600
Date: Thu, 7 Sep 2006 14:01:48 -0600 (MDT)
From: "Keith A. Kearnes" <kearnes@euclid.Colorado.EDU>
To: univalg@yahoogroups.com
Subject: preprint
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Hi-

At the Gratzer-Schmidt conference in June several people
asked when a copy of my monograph with Emil Kiss on congruence
identities would be available. I told them I would make a
preprint available `later this summer'. It is still summer
until 4:02am September 23, and I just posted it, so I didn't
lie this time.

For those interested, the PDF file for the monograph can be
downloaded from
	http://spot.colorado.edu/~kearnes/research.html

Emil and I welcome comments, corrections and suggestions!

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From kearnes@euclid.Colorado.EDU  Tue Jul  4 10:12:47 2006
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From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Peter Ouwehand <Peter@MATHS.uct.ac.za>
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Subject: Re: shape of congruence lattices
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Dear Peter-

I haven't posted the file yet.
I expect to do it in the next week or two.
I will leave your message in my mail spool
to remind me of your interest, and then
(try to remember to) send you a copy when it
is posted.

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From jrnl-initsub@ams.org  Wed Jun 27 07:14:02 2007
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Notification of Manuscript Submission

The manuscript described below has been forwarded to AMS editorial staff.
After being reviewed for completeness, this manuscript will be forwarded 
to the journal editor (2 business days).  You will receive email notification 
once this step occurs.  In the meantime, please direct any questions or 
correspondence to jrnl-initsub@ams.org.

DO NOT RESUBMIT THE MANUSCRIPT. If you need to modify, update, or check the
status of your submission, contact jrnl-initsub@ams.org.

Date: June 27, 2007
Manuscript number: me5550

Corresponding Author Information
Name: Keith A. Kearnes
Email: kearnes@euclid.colorado.edu
Phone: (303) 587-0028

Additional Author Contact Information
Name: Emil W. Kiss
Email: ewkiss@cs.elte.hu

Article Information
Title: The shape of congruence lattices
Submitted to: Memoirs of the American Mathematical Society
Logic: Steffen Lempp
Primary MSC: 08 - General algebraic systems
Secondary MSC: 06 - Order, lattices, ordered algebraic structures
Number of pages: 205
Number of figures: 58
Submission included a PDF: Yes

Electronic Prepress Group
American Mathematical Society

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The following manuscript has been forwarded to the editor for review:

Journal: Memoirs of the American Mathematical Society
Editor: Steffen  Lempp
ID: me5550
Author(s):  Keith A. Kearnes (kearnes@euclid.colorado.edu),  Emil W. Kiss (ewkiss@cs.elte.hu)
Title: The shape of congruence lattices

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From kearnes@euclid.Colorado.EDU  Mon Dec  4 13:17:22 2006
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Date: Mon, 4 Dec 2006 13:17:21 -0700 (MST)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: James Raftery <raftery@ukzn.ac.za>
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>
Subject: Re: your monograph
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Dear James-

At all times while writing the monograph I intended to mention my result
with Agnes that a variety satisfies a nontrivial idempotent Maltsev
condition iff it satisfies a congruence equation in {\circ, \wedge}. I
somewhat baffled now as to why it doesn't appear. There are `essentially
equivalent remarks' in Chapter 4, so I didn't mess up too badly.  I.e.,
the remarks before Corollary 4.9 show that if V satisfies a congruence
equation in {\circ, wedge}, then it satisfies a Maltsev condition, while
the converse may be deduced from the implication (1) => (5) in Thm 4.12.
(Once V is fixed, the word on the righthand side of (5) can be replaced by
a {\circ,\wedge}-word.) But it should probably be stated explicitly. I'll
do that. Thanks for pointing it out!

Yours,
Keith



On Thu, 30 Nov 2006, James Raftery wrote:

> Dear Keith,
>
> I have been reading your monograph with Emil, 'The shape
> of congruence lattices'.  It is a wonderful addition to
> the literature.  The new results expanding the stock of
> finite lattices that can play the roles of D_1, etc. are
> particularly interesting.
>
> In your 1998 paper with Agnes, 'The relationship between
> two commutators', you proved that a variety satisfies a
> nontrivial 'congruence equation' in the language
> meet-join-circle iff it satisfies a nontrivial idempotent
> Maltsev condition.  The result is striking, partly because
> the notion of a congruence equation is simple and quickly
> grasped.  I think this result is not mentioned explicitly
> in the new monograph.  I also think I can understand why
> this happened, since the implication that was essentially
> new in 1998 has been strengthened in the new work, and the
> other implication was more-or-less known.
>
> Provided one knows the 'more-or-less known' implication,
> it emerges from the new monograph that to disprove the
> existence of even a mere congruence equation in meet-join-circle,
> one need only find a copy of a certain finite lattice (such
> as D_1) in the congruence lattice of an algebra from the
> variety, where the algebra need not be finite.  For me this
> is striking, because the demand about D_1 is purely
> lattice-theoretic, i.e., the need to think about circle
> is eliminated, against one's first expectations.  And any
> suspicion that finiteness is somehow the cause of this is
> now refuted.
>
> Many users of UA will not have seen the 1998 paper and won't
> necessarily think about the 'more-or-less known' implication.
> In this case a potentially easily understood connection that
> is conceptually helpful could be missed.  On the other hand,
> I expect the above point is much less important for the
> development of the general theory than the strong results
> actually stated in the monograph, and alert or knowledgeable
> readers will see the corollary.
>
> Thank you for making this valuable work accessible on your
> website.
>
> With best wishes,
> James
>
> Please find our Email Disclaimer here: http://www.ukzn.ac.za/disclaimer/
>

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From lempp@math.wisc.edu  Tue Jul 10 09:04:04 2007
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Dear Profs. Kearnes and Kiss,
I have received your monograph and sent it to a referee.
Naturally, with a long monography like this, there will likely be a delay 
until I can expect a report; but rest assured that I will keep an eye on this 
to make sure that the delay is not too long.
Best regards,				Steffen Lempp

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From lempp@math.wisc.edu  Wed Jul 25 13:02:22 2007
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Dear Profs. Kearnes and Kiss,
I ran your manuscript by a referee and received the below report, after some 
discussions by phone (complicated and delayed by the fact that we live in a 
very different time zone, so I had to time my calls just right to catch the 
referee at an appropriate time).
In any case, the referee raises some non-mathematical issues which I would 
like to resolve first: Can you please elaborate on the items raised by the 
referee? (I am assuming that this was a mere oversight rather than malice...)
Once I have your answer, I will pass it along to the referee; and we will then 
start the usual refereeing process.
Thanks,						Steffen Lempp

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

FROM THE REFEREE:

Dear Prof. Lempp,

When I started reading the manuscript, I was quite surprised. A few 
days ago, at the Vanderbilt Meeting, I was talking to an older 
mathematician about the subject matter of this book. We are both 
quite interested in the topic and we were perusing the MS of the book 
(mentioned several times at the meeting) we obtained from Kearnes' 
Web site -- it was posted there some time last year. My friend 
recalled that he first heard about Maltsev conditions at the 1968 
Universal Algebra Meeting in Oberwolfach. He was present when Gratzer 
had a conversation with McKenzie defining the concept and stating 
that regularity and weak regularity are Maltsev type. This is a 
typical McKenzie story: he did not believe the result and stayed up 
all night to prove it.

This is not the story being told in the MS. Since my friend related 
his recollections from 40 years ago, I decided to check the facts 
myself. This is what I found.

Gratzer published the first paper on the topic:

Two Mal'cev type theorems in universal algebra, J. Combinatorial 
Theory 8 (1970), 334--342.

Here is the abstract (copied from Gratzer's Web site):

"Patterned after theorems of Mal'cev and Jonsson, certain types of
conditions for equational classes of algebras are named "Mal'cev type".
Regularity and weak regularity of equational classes of algebras are
proved to be of "Mal'cev Type"."

Then, at the end of the paper he states four conditions that a class 
defined by a Maltsev condition has to satisfy. He raises the question:

"It is an open problem whether (i)-(iv) along with some further
conditions of this type could characterize properties that are
equivalent to Mal'cev-type conditions."

This problem was solved by Walter Taylor, published as Characterizing 
Mal'cev conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth 
condition so that the five conditions together are necessary and 
sufficient.

This MS is dedicated to three people, Taylor being one, for his 
contribution to Maltsev conditions (his one paper in which Gratzer's 
problem is solved). Gratzer's paper is not referenced, and he is not 
given credit at all.

It gets even more interesting. This is a book, basically, on 
lattices. Gratzer's lattice book is not referenced, nor is his new 
book, The Congruences of a Finite Lattice (2006), which would have 
been particularly appropriate since it contains a brief introduction 
to lattices containing most of what they need.

In the references I find only one work of Gratzer, with two typos. 
What would Freud say about this?

Curious story.

Best regards,

                                        XXX

From A.Szendrei@math.u-szeged.hu  Mon Jul 30 08:46:46 2007
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  This message is in MIME format.  The first part should be readable text,
  while the remaining parts are likely unreadable without MIME-aware tools.

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Hi Dear,

I posted the pdf file of Gratzer's Mal'tsev-type paper
on my SZEGED web page at

http://www.math.u-szeged.hu/~szendrei/gratzer.pdf

(I was not able to sftp the file over to spot.
I don't understand why, but on spot I kept getting a pdf
file of lenght 0.
I tried to sftp directly from szeged, and also through
euclid -- none of them worked.)

--------------------------

I checked

Author: Gratzer
Anywhere: Malcev or Maltsev

on MathSciNet.

I found only one paper by Gratzer where the results
is a Maltsev-type condition, the one we already know about.
In all other papers that were returned for these searches
either Maltsev was mentioned in a different context
(like Maltsev's lemma on congruence generation
or Maltsev product of varieties) or a Maltsev-type
condition of someone else (e.g. Day) was referred to.

---------------------------

I copy here M. Gould's review on Gratzer's Maltsev-type
paper, which seems to confirm that it was Gratzer who first
gave a formal definition for a Maltsev-type condition.


Motivated by the form of a classical theorem of
Mal\cprime cev and of subsequent results by J=F3nsson
and others, the author frames the following definition:
"A Mal\cprime cev-type condition of equational classes
is of the form `$(P_n)$ there exists a natural number $n$,
and polynomial symbols $p_0,\cdots,p_{m_n-1}$ satisfying
a set of identities $\Sigma_n$', where $(P_{n+1})$ is
weaker than $(P_n)$ and the form of $\Sigma_n$ is independent
of the type of algebras considered."

Following Tarski, he then defines regularity of an equational
class to mean that for every pair of congruences on an algebra
in the class, if the pair have a congruence class in common,
then they are equal. Weak regularity is defined to mean that
every algebra in the class contains an element having the property
that any two congruence relations having the same class containing
that element are equal. The paper's main results provide formulations
of these two conditions as Mal\cprime cev-type conditions.

Reviewed by M. Gould
-------------------------------------

Agi

---559023410-1804928587-1185806802=:15290--

From A.Szendrei@math.u-szeged.hu  Wed Aug  1 07:31:00 2007
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Hi,

I have found the following data on MathSciNet:

Gratzer's 1970 paper `Two Mal'cev-type theorems ...'
Citations from references: 7
None of them are self-references
(Citations from reviews: 3)

Jonsson's 1967 paper `Algebras whose congr. lattoces are dist.'
Citations from references: 36
None of them are self-references
(Citations from reviews: 27)


In both cases, all citations from references
come from papers published in 2000 or later.

Love,
Agi

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Date: Wed, 1 Aug 2007 20:05:20 -0700 (PDT)
From: Keith Kearnes <k_kearnes@yahoo.com>
X-ASG-Orig-Subj: Re: your submission to Memoirs of the AMS (fwd)
Subject: Re: your submission to Memoirs of the AMS (fwd)
To: lempp@math.wisc.edu
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        Keith Kearnes <kearnes@euclid.colorado.edu>, ewkiss@cs.elte.hu
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Dear Steffen-
 
 I am the corresponding author (Keith Kearnes). I am currently on a bicycle tour
 of the US Pacific coast from Canada to Mexico and I have limited access to the internet, so my answer will have to be `brief'. Also, I will have to quote facts from memory. I could probably give a more complete and accurate answer when I 
 get back to Boulder in a few weeks, but since it seems that you have halted 
 the refereeing process I feel obligated to answer now.
 
 What we wrote (or did not write) about George Gratzer in our MS was not an
 oversight, and was not malice. What we wrote was correct, and what the 
 referee writes in his email is incorrect.
 He gives an inaccurate portrayal of the purpose of our MS, of the `historical
 content' of our MS, and of the true events. 
 
 A. The referee's commission.
 
 Each journal has its own acceptance criteria. Those of the AMS Memoirs are that a paper be:
 (i) correct
 (ii) new
 (iii) significant
 (iv) well written
 (v) of interest to a substantial number of mathematicians.
 
 A referee is an expert employed to determine if THESE criteria are met.
 Any statements by a referee on matters of taste or opinion are outside of
 his commission. But this is exactly what our referee is doing: he is stating
 that George Gratzer should be represented as `more influential' than we have 
 represented him. This is his opinion, but outside of his commission. Such 
 remarks should have NO WEIGHT in the consideration of our MS.
 ---
 B. The referee's remarks are factually incorrect.
 
 The referee states that Gratzer's sole paper on Maltsev conditions ``was
 the first paper on the topic''. This is FALSE. If it were the first, then obviously they would be called `Gratzer conditions', not `Maltsev conditions'!
 
 What is universally considered to be the first paper on Maltsev conditions is Maltsev's 1953 paper, which predates Gratzer's paper by 17 years. 
 Indeed, Gratzer's paper was not the SECOND paper on 
 Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), ...etc.
 
 In fact, Gratzer's paper itself contains citations to FOUR earlier papers on
 Maltsev conditions in the bibliography! How then could his be the first???
 Indeed, I am really astonished that the referee can quote the abstract to
 Gratzer's paper as saying 
 ``This paper is patterned after theorems of Maltsev and Jonsson...'' 
                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 and then claim that Gratzer's paper is the first!!
 How can a paper whose abstract admits ``This paper is patterned after earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev conditions???
 ---
 C. Even if the referee's statements were true, they would be irrelevant.
 
 Our manuscript is about the question:
 
 (*) Which varieties satisfy congruence identities? 
 
 Our MS is *NOT* about Maltsev conditions, it is about congruence identities. 
 It is true that we are forced to explore
 the interplay between SPECIAL TYPES of Maltsev conditions, 
 SPECIAL TYPES of term conditions, and SPECIAL TYPES of 
 congruence lattice shapes. We make no attempt to delineate the 
 general history of Maltsev conditions, OR the general history of term
 conditions, OR the general history of congruence lattices. Instead we make
 historical references only when they are DIRECTLY RELEVANT to the MS.
 In the case of Maltsev conditions, the only ones directly relevant to
 the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES
 (because that is what the MS is about).
 
 Gratzer wrote a single paper on Maltsev conditions. It has no 
 DIRECT RELEVANCE to anything in our MS, because it does 
 not concern Maltsev conditions associated to congruence identities. 
 This alone is sufficient to exclude it from mention. 
 (Or, to put this in the reverse way, in order to qualify for mention
 on our MS, a paper must be DIRECTLY RELEVANT to the theorems 
 we prove, and Gratzer's is not.)
 
 D. How much `history' is appropriate??
 
 I am skeptical of the `mathematical histories' included in research articles.
 It is my experience that authors who include these are not trying record history,
 but to REWRITE history.
 
 For example, I know of a paper by Mathematicians A and B where, immediately
 after publication, EACH of A and B confided to me that 70-80% of the results
 were theirs and only 20-30% were due to the other coauthor. This is mathematically impossible, but I believe that both authors were sincere in their
 assessments. People just don't see things the same way, even at the
 moment an idea is created.
 
 Furthermore, `history' changes over time. I know an example where 
 C and D wrote a book. At the time of publication I asked C how it 
 came about, and he said ``D came to me with the first theorem of 
 this subject. He had the main idea that made later things work.'' 
 I later learned that certain chapters came directly out of D's PhD thesis.
 Yet ten years later I heard C refer to the joint work as ``MY theory''. 
 In fact, a third author E wrote a later book with a chapter
 summarizing the main results of book [CD], and the chapter was called
 ``C's theory''. Coathor D had been completely written out of the picture
 in the space of 10 years!
 One cannot trust memory (and this includes the memory of the `older
 gentleman' whose words guided the referee).
 
 I, personally, have had ideas attributed to me that were NOT mine, and ideas that WERE mine attributed to others.

 For all these reasons I do not include ANY `history for its own sake' 
 in any of my writings. I do NO `storytelling' (as the referee calls it).
 
 I do, however, make the necessary historical references. 
 They are typically of the form ``Theorem X is proved in paper [Y] by 
 mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However, 
 as I said above, this is only done when the theorem/idea is 
 DIRECTLY RELEVANT to what I am writing. I must feel that the reader 
 HAS TO KNOW about a theorem/idea to appreciate what I am writing, and 
 I include the citation to DENY ORIGINALITY.
 
 These are my principles concerning `historical references', and they are
 reasonable ones. If one applies these priciples to Gratzer's paper, it is 
 clear why it is not cited: no idea in his paper is connected to any idea
 in our MS. That alone is reason enough to omit mention of his paper.
 
 E. Final commments.
 
 (i) the referee claims that we dedicated our paper to Walter Taylor 
 BECAUSE he solved a problem of Gratzer's. 
 How the hell can he know that???
 
 The truth: Taylor is included in our dedication because he made the 
 most significant contributions to the subject of Maltsev condition of any mathematician.  He has written NUMEROUS papers on the subject, 
 transformed this area of research, and his book with Garcia is considered 
 `The Bible' of the subject. (The referee claims Taylor wrote only one
 paper on Maltsev conditions. This assertion only further confirms his 
 complete ignorance of this area of research, which Taylor dominated.)
 
 Moreover, every dedication of every book is at least partly a personal homage, something a referee clearly has no right to comment on. I have been deeply influenced by Taylor's work, and I have a right to express this in the dedication.
 
 (ii) the referee claims that our paper is `basically about lattices'. FALSE!
 It is basically about varieties. 
 
 The referee then complains that, because our MS is `basically about lattices', we 
 should have cited Gratzer's book on lattice theory. For the lattice theory we need 
 we cite two basic textbooks: the one by Birkhoff (also known as the `father of
 lattice theory') and the one by Freese-Jezek-Nation, since we need specific 
 material from that book. There was no intentional avoidance off Gratzer's book, 
 but simply no need for so many references to basic material. (How petty must
 one be to insist that we cite Gratzer rather than Birkhoff!!!) 
 ---------------------------------------------------------------------------------------------
 In summary:
 The referee is commenting on a matter of opinion, not fact.
 We are not obligated to prefer his taste over our own.
 His commments on the historical significance of Gratzer's 
 contribution are not relevant because we do not include any 
 historical survey of any topic in our MS, we only cite results that 
 are directly relevant to the theorems we prove.
 Finally, his commments include many false statements and
 distortions of the truth.
 
 The only explanation I see for all of this is that he has a personal connection 
 to George Gratzer (eg, is a PhD student or coauthor). He clearly does not 
 much about Maltsev conditions. It is my impression that he made only a
 casual effort to understand the facts about which he was commenting.
 
 I hope that in the future you will give weight to item A above.
 
 Yours,
 Keith
 
 
 Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)
From: Steffen Lempp 
To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
Subject: your submission to Memoirs of the AMS

Dear Profs. Kearnes and Kiss,
I ran your manuscript by a referee and received the below report, after some 
discussions by phone (complicated and delayed by the fact that we live in a 
very different time zone, so I had to time my calls just right to catch the 
referee at an appropriate time).
In any case, the referee raises some non-mathematical issues which I would like 
to resolve first: Can you please elaborate on the items raised by the referee? 
(I am assuming that this was a mere oversight rather than malice...)
Once I have your answer, I will pass it along to the referee; and we will then 
start the usual refereeing process.
Thanks,      Steffen Lempp

********************************************************************************

Office address: Prof. Steffen Lempp
   Department of Mathematics
   University of Wisconsin
   480 Lincoln Drive
   Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

FROM THE REFEREE:

Dear Prof. Lempp,

When I started reading the manuscript, I was quite surprised. A few days ago, 
at the Vanderbilt Meeting, I was talking to an older mathematician about the 
subject matter of this book. We are both quite interested in the topic and we 
were perusing the MS of the book (mentioned several times at the meeting) we 
obtained from Kearnes' Web site -- it was posted there some time last year. My 
friend recalled that he first heard about Maltsev conditions at the 1968 
Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had a 
conversation with McKenzie defining the concept and stating that regularity and 
weak regularity are Maltsev type. This is a typical McKenzie story: he did not 
believe the result and stayed up all night to prove it.

This is not the story being told in the MS. Since my friend related his 
recollections from 40 years ago, I decided to check the facts myself. This is 
what I found.

Gratzer published the first paper on the topic:

Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8 
(1970), 334--342.

Here is the abstract (copied from Gratzer's Web site):

"Patterned after theorems of Mal'cev and Jonsson, certain types of
conditions for equational classes of algebras are named "Mal'cev type".
Regularity and weak regularity of equational classes of algebras are
proved to be of "Mal'cev Type"."

Then, at the end of the paper he states four conditions that a class defined by 
a Maltsev condition has to satisfy. He raises the question:

"It is an open problem whether (i)-(iv) along with some further
conditions of this type could characterize properties that are
equivalent to Mal'cev-type conditions."

This problem was solved by Walter Taylor, published as Characterizing Mal'cev 
conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so that 
the five conditions together are necessary and sufficient.

This MS is dedicated to three people, Taylor being one, for his contribution to 
Maltsev conditions (his one paper in which Gratzer's problem is solved). 
Gratzer's paper is not referenced, and he is not given credit at all.

It gets even more interesting. This is a book, basically, on lattices. 
Gratzer's lattice book is not referenced, nor is his new book, The Congruences 
of a Finite Lattice (2006), which would have been particularly appropriate 
since it contains a brief introduction to lattices containing most of what they 
need.

In the references I find only one work of Gratzer, with two typos. What would 
Freud say about this?

Curious story.

Best regards,

                                        XXX



---
Keith A. Kearnes
k_kearnes@yahoo.com
       
---------------------------------
Park yourself in front of a world of choices in alternative vehicles.
Visit the Yahoo! Auto Green Center.
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Dear Steffen-<br> <br> I am the corresponding author (Keith Kearnes). I am currently on a bicycle tour<br> of the US Pacific coast from Canada to Mexico and I have limited access to the internet, so my answer will have to be `brief'. Also, I will have to quote facts from memory. I could probably give a more complete and accurate answer when I <br> get back to Boulder in a few weeks, but since it seems that you have halted <br> the refereeing process I feel obligated to answer now.<br> <br> What we wrote (or did not write) about George Gratzer in our MS was not an<br> oversight, and was not malice. What we wrote was correct, and what the <br> referee writes in his email is incorrect.<br> He gives an inaccurate portrayal of the purpose of our MS, of the `historical<br> content' of our MS, and of the true events. <br> <br> A. The referee's commission.<br> <br> Each journal has its own acceptance criteria. Those of the AMS Memoirs are that a paper be:<br> (i) correct<br> (ii)
 new<br> (iii) significant<br> (iv) well written<br> (v) of interest to a substantial number of mathematicians.<br> <br> A referee is an expert employed to determine if THESE criteria are met.<br> Any statements by a referee on matters of taste or opinion are outside of<br> his commission. But this is exactly what our referee is doing: he is stating<br> that George Gratzer should be represented as `more influential' than we have&nbsp;<br> represented him. This is his opinion, but outside of his commission. Such <br> remarks should have NO WEIGHT in the consideration of our MS.<br> ---<br> B. The referee's remarks are factually incorrect.<br> <br> The referee states that Gratzer's sole paper on Maltsev conditions ``was<br> the first paper on the topic''. This is FALSE. If it were the first, then obviously they would be called `Gratzer conditions', not `Maltsev conditions'!<br> <br> What is universally considered to be the first paper on Maltsev conditions is Maltsev's 1953
 paper, which predates Gratzer's paper by 17 years. <br> Indeed, Gratzer's paper was not the SECOND paper on <br> Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), ...etc.<br> <br> In fact, Gratzer's paper itself contains citations to FOUR earlier papers on<br> Maltsev conditions in the bibliography! How then could his be the first???<br> Indeed, I am really astonished that the referee can quote the abstract to<br> Gratzer's paper as saying <br> ``This paper is patterned after theorems of Maltsev and Jonsson...'' <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^<br> and then claim that Gratzer's paper is the first!!<br> How can a paper whose abstract admits ``This paper is patterned after earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev conditions???<br> ---<br> C. Even if the referee's statements were
 true, they would be irrelevant.<br> <br> Our manuscript is about the question:<br> <br> (*) Which varieties satisfy congruence identities? <br> <br> Our MS is *NOT* about Maltsev conditions, it is about congruence identities. <br> It is true that we are forced to explore<br> the interplay between SPECIAL TYPES of Maltsev conditions, <br> SPECIAL TYPES of term conditions, and SPECIAL TYPES of <br> congruence lattice shapes. We make no attempt to delineate the <br> general history of Maltsev conditions, OR the general history of term<br> conditions, OR the general history of congruence lattices. Instead we make<br> historical references only when they are DIRECTLY RELEVANT to the MS.<br> In the case of Maltsev conditions, the only ones directly relevant to<br> the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES<br> (because that is what the MS is about).<br> <br> Gratzer wrote a single paper on Maltsev conditions. It has no <br> DIRECT RELEVANCE to anything in our MS,
 because it does <br> not concern Maltsev conditions associated to congruence identities. <br> This alone is sufficient to exclude it from mention. <br> (Or, to put this in the reverse way, in order to qualify for mention<br> on our MS, a paper must be DIRECTLY RELEVANT to the theorems <br> we prove, and Gratzer's is not.)<br> <br> D. How much `history' is appropriate??<br> <br> I am skeptical of the `mathematical histories' included in research articles.<br> It is my experience that authors who include these are not trying record history,<br> but to REWRITE history.<br> <br> For example, I know of a paper by Mathematicians A and B where, immediately<br> after publication, EACH of A and B confided to me that 70-80% of the results<br> were theirs and only 20-30% were due to the other coauthor. This is mathematically impossible, but I believe that both authors were sincere in their<br> assessments. People just don't see things the same way, even at the<br> moment an idea is
 created.<br> <br> Furthermore, `history' changes over time. I know an example where <br> C and D wrote a book. At the time of publication I asked C how it <br> came about, and he said ``D came to me with the first theorem of <br> this subject. He had the main idea that made later things work.'' <br> I later learned that certain chapters came directly out of D's PhD thesis.<br> Yet ten years later I heard C refer to the joint work as ``MY theory''. <br> In fact, a third author E wrote a later book with a chapter<br> summarizing the main results of book [CD], and the chapter was called<br> ``C's theory''. Coathor D had been completely written out of the picture<br> in the space of 10 years!<br> One cannot trust memory (and this includes the memory of the `older<br> gentleman' whose words guided the referee).<br> <br> I, personally, have had ideas attributed to me that were NOT mine, and ideas that WERE mine attributed to others.<br><br> For all these reasons I do not include
 ANY `history for its own sake' <br> in any of my writings. I do NO `storytelling' (as the referee calls it).<br> <br> I do, however, make the necessary historical references. <br> They are typically of the form ``Theorem X is proved in paper [Y] by <br> mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However, <br> as I said above, this is only done when the theorem/idea is <br> DIRECTLY RELEVANT to what I am writing. I must feel that the reader <br> HAS TO KNOW about a theorem/idea to appreciate what I am writing, and <br> I include the citation to DENY ORIGINALITY.<br> <br> These are my principles concerning `historical references', and they are<br> reasonable ones. If one applies these priciples to Gratzer's paper, it is <br> clear why it is not cited: no idea in his paper is connected to any idea<br> in our MS. That alone is reason enough to omit mention of his paper.<br> <br> E. Final commments.<br> <br> (i) the referee claims that we dedicated our
 paper to Walter Taylor <br> BECAUSE he solved a problem of Gratzer's. <br> How the hell can he know that???<br> <br> The truth: Taylor is included in our dedication because he made the <br> most significant contributions to the subject of Maltsev condition of any mathematician.&nbsp; He has written NUMEROUS papers on the subject, <br> transformed this area of research, and his book with Garcia is considered <br> `The Bible' of the subject. (The referee claims Taylor wrote only one<br> paper on Maltsev conditions. This assertion only further confirms his <br> complete ignorance of this area of research, which Taylor dominated.)<br> <br> Moreover, every dedication of every book is at least partly a personal homage, something a referee clearly has no right to comment on. I have been deeply influenced by Taylor's work, and I have a right to express this in the dedication.<br> <br> (ii) the referee claims that our paper is `basically about lattices'. FALSE!<br> It is basically
 about varieties. <br> <br> The referee then complains that, because our MS is `basically about lattices', we <br> should have cited Gratzer's book on lattice theory. For the lattice theory we need <br> we cite two basic textbooks: the one by Birkhoff (also known as the `father of<br> lattice theory') and the one by Freese-Jezek-Nation, since we need specific <br> material from that book. There was no intentional avoidance off Gratzer's book, <br> but simply no need for so many references to basic material. (How petty must<br> one be to insist that we cite Gratzer rather than Birkhoff!!!) <br> ---------------------------------------------------------------------------------------------<br> In summary:<br> The referee is commenting on a matter of opinion, not fact.<br> We are not obligated to prefer his taste over our own.<br> His commments on the historical significance of Gratzer's <br> contribution are not relevant because we do not include any <br> historical survey of
 any topic in our MS, we only cite results that <br> are directly relevant to the theorems we prove.<br> Finally, his commments include many false statements and<br> distortions of the truth.<br> <br> The only explanation I see for all of this is that he has a personal connection <br> to George Gratzer (eg, is a PhD student or coauthor). He clearly does not <br> much about Maltsev conditions. It is my impression that he made only a<br> casual effort to understand the facts about which he was commenting.<br> <br> I hope that in the future you will give weight to item A above.<br> <br> Yours,<br> Keith<br> <br> <br> <blockquote class="replbq" style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; padding-left: 5px;">Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)<br>From: Steffen Lempp <lempp @math.wisc.edu=""><br>To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu<br>Subject: your submission to Memoirs of the AMS<br><br>Dear Profs. Kearnes and Kiss,<br>I ran your
 manuscript by a referee and received the below report, after some <br>discussions by phone (complicated and delayed by the fact that we live in a <br>very different time zone, so I had to time my calls just right to catch the <br>referee at an appropriate time).<br>In any case, the referee raises some non-mathematical issues which I would like <br>to resolve first: Can you please elaborate on the items raised by the referee? <br>(I am assuming that this was a mere oversight rather than malice...)<br>Once I have your answer, I will pass it along to the referee; and we will then <br>start the usual refereeing process.<br>Thanks,      Steffen Lempp<br><br>********************************************************************************<br><br>Office address: Prof. Steffen Lempp<br>   Department of Mathematics<br>   University of Wisconsin<br>   480 Lincoln Drive<br>   Madison, WI 53706-1388   USA<br>Office phone:   (608) 263-1975<br>Office fax:     (608) 263-8891<br>WWW home
 page:  http://www.math.wisc.edu/~lempp<br><br>********************************************************************************<br><br>FROM THE REFEREE:<br><br>Dear Prof. Lempp,<br><br>When I started reading the manuscript, I was quite surprised. A few days ago, <br>at the Vanderbilt Meeting, I was talking to an older mathematician about the <br>subject matter of this book. We are both quite interested in the topic and we <br>were perusing the MS of the book (mentioned several times at the meeting) we <br>obtained from Kearnes' Web site -- it was posted there some time last year. My <br>friend recalled that he first heard about Maltsev conditions at the 1968 <br>Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had a <br>conversation with McKenzie defining the concept and stating that regularity and <br>weak regularity are Maltsev type. This is a typical McKenzie story: he did not <br>believe the result and stayed up all night to prove it.<br><br>This is
 not the story being told in the MS. Since my friend related his <br>recollections from 40 years ago, I decided to check the facts myself. This is <br>what I found.<br><br>Gratzer published the first paper on the topic:<br><br>Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8 <br>(1970), 334--342.<br><br>Here is the abstract (copied from Gratzer's Web site):<br><br>"Patterned after theorems of Mal'cev and Jonsson, certain types of<br>conditions for equational classes of algebras are named "Mal'cev type".<br>Regularity and weak regularity of equational classes of algebras are<br>proved to be of "Mal'cev Type"."<br><br>Then, at the end of the paper he states four conditions that a class defined by <br>a Maltsev condition has to satisfy. He raises the question:<br><br>"It is an open problem whether (i)-(iv) along with some further<br>conditions of this type could characterize properties that are<br>equivalent to Mal'cev-type conditions."<br><br>This
 problem was solved by Walter Taylor, published as Characterizing Mal'cev <br>conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so that <br>the five conditions together are necessary and sufficient.<br><br>This MS is dedicated to three people, Taylor being one, for his contribution to <br>Maltsev conditions (his one paper in which Gratzer's problem is solved). <br>Gratzer's paper is not referenced, and he is not given credit at all.<br><br>It gets even more interesting. This is a book, basically, on lattices. <br>Gratzer's lattice book is not referenced, nor is his new book, The Congruences <br>of a Finite Lattice (2006), which would have been particularly appropriate <br>since it contains a brief introduction to lattices containing most of what they <br>need.<br><br>In the references I find only one work of Gratzer, with two typos. What would <br>Freud say about this?<br><br>Curious story.<br><br>Best regards,<br><br>                                   
     XXX<br></lempp></blockquote><br><BR><BR>---<br>Keith A. Kearnes<br>k_kearnes@yahoo.com<p>&#32;

      <hr size=1>Park yourself in front of a world of choices in alternative vehicles.<br><a href="http://us.rd.yahoo.com/evt=48246/*http://autos.yahoo.com/green_center/;_ylc=X3oDMTE5cDF2bXZzBF9TAzk3MTA3MDc2BHNlYwNtYWlsdGFncwRzbGsDZ3JlZW4tY2VudGVy">Visit the Yahoo! Auto Green Center.</a>
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From ewkiss@cs.elte.hu  Wed Aug  1 23:18:36 2007
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Date: Thu, 2 Aug 2007 07:17:46 +0200
To: Keith Kearnes <k_kearnes@yahoo.com>, kearnes@euclid.colorado.edu
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Keith,

1. Have fun riding.
2. I agree with your answer.
3. Who the hell this referee is? Can we expect anything good
from him after such a letter? Aren't you worried?
4. One point that I may have said in my response: this is a
RESEARCH paper and NOT a SURVEY paper.
5. Is the submitted version the same as the one on your
homepage?

Emil

From k_kearnes@yahoo.com  Wed Aug  1 23:53:59 2007
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Date: Wed, 1 Aug 2007 22:53:55 -0700 (PDT)
From: Keith Kearnes <k_kearnes@yahoo.com>
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Dear Emil-
 
 I'm sorry that I did not have time (or, did not feel that I had time)
 to show the answer to you first. I am touring and only get to read my email 
 once each 7-10 days.

 I left July 1 from Kamloops British Columbia and am currently in 
 Ojai California, slightly east of Santa Barbara. I have ridden 1785 miles
 so far. I expect to finish my whole trip in mid-August.
 
 Agi and I made independent guesses as to the identity of the referee,
 and we both picked Fred Wehrung. He is a Gratzer disciple who 
 has never published anything about congruence identities. Also, the
 `Freud comment' at the end sounds like Wehrung.
 
 I don't know what we can expect. I DO know that the algebra editor of 
 the Memoirs is an asshole, and previous experience with Lempp (the 
 logic editor) suggests that he is a sensible guy. If something bad happens,
 let's just publish the book another way.
 
 I intended to emphasize that it is a research paper, but I guess
 that point got lost in preparing my reply.
 
 I do think the submitted version is the same, but I might have corrected
 a few minor typos. I won't know until I get home.
 -------------------
 I am not reading my euclid email while on tour. Agi forwarded Lempp's
 message to my yahoo email, which I can access from public libraries
 (which don't have ssh and don't allow downloading software to use ssh).
 Agi also told me you agreed to handle the DPC corrections -- thanks!
 
 Yours,
 Keith
 
 
 
Emil Kiss <ewkiss@cs.elte.hu> wrote: Keith,

1. Have fun riding.
2. I agree with your answer.
3. Who the hell this referee is? Can we expect anything good
from him after such a letter? Aren't you worried?
4. One point that I may have said in my response: this is a
RESEARCH paper and NOT a SURVEY paper.
5. Is the submitted version the same as the one on your
homepage?

Emil




---
Keith A. Kearnes
k_kearnes@yahoo.com
       
---------------------------------
Be a better Heartthrob. Get better relationship answers from someone who knows.
Yahoo! Answers - Check it out. 
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Dear Emil-<br> <br> I'm sorry that I did not have time (or, did not feel that I had time)<br> to show the answer to you first. I am touring and only get to read my email <br> once each 7-10 days.<br><br> I left July 1 from Kamloops British Columbia and am currently in <br> Ojai California, slightly east of Santa Barbara. I have ridden 1785 miles<br> so far. I expect to finish my whole trip in mid-August.<br> <br> Agi and I made independent guesses as to the identity of the referee,<br> and we both picked Fred Wehrung. He is a Gratzer disciple who <br> has never published anything about congruence identities. Also, the<br> `Freud comment' at the end sounds like Wehrung.<br> <br> I don't know what we can expect. I DO know that the algebra editor of <br> the Memoirs is an asshole, and previous experience with Lempp (the <br> logic editor) suggests that he is a sensible guy. If something bad happens,<br> let's just publish the book another way.<br> <br> I intended to emphasize
 that it is a research paper, but I guess<br> that point got lost in preparing my reply.<br> <br> I do think the submitted version is the same, but I might have corrected<br> a few minor typos. I won't know until I get home.<br> -------------------<br> I am not reading my euclid email while on tour. Agi forwarded Lempp's<br> message to my yahoo email, which I can access from public libraries<br> (which don't have ssh and don't allow downloading software to use ssh).<br> Agi also told me you agreed to handle the DPC corrections -- thanks!<br> <br> Yours,<br> Keith<br> <br> <br> <br><b><i>Emil Kiss &lt;ewkiss@cs.elte.hu&gt;</i></b> wrote:<blockquote class="replbq" style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; padding-left: 5px;"> Keith,<br><br>1. Have fun riding.<br>2. I agree with your answer.<br>3. Who the hell this referee is? Can we expect anything good<br>from him after such a letter? Aren't you worried?<br>4. One point that I may have said in my
 response: this is a<br>RESEARCH paper and NOT a SURVEY paper.<br>5. Is the submitted version the same as the one on your<br>homepage?<br><br>Emil<br><br></blockquote><br><BR><BR>---<br>Keith A. Kearnes<br>k_kearnes@yahoo.com<p>&#32;
      <hr size=1>Be a better Heartthrob. <a href="http://us.rd.yahoo.com/evt=48255/*http://answers.yahoo.com/dir/_ylc=X3oDMTI5MGx2aThyBF9TAzIxMTU1MDAzNTIEX3MDMzk2NTQ1MTAzBHNlYwNCQUJwaWxsYXJfTklfMzYwBHNsawNQcm9kdWN0X3F1ZXN0aW9uX3BhZ2U-?link=list&sid=396545433">Get better relationship answers </a>from someone who knows.<br>Yahoo! Answers - Check it out. 

--0-2075114240-1186034035=:56433--

From kearnes@Colorado.EDU  Mon Aug 27 14:30:57 2007
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Date: Mon, 27 Aug 2007 14:30:56 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: lempp@math.wisc.edu
cc: Keith Kearnes <kearnes@euclid.Colorado.EDU>, Emil Kiss <ewkiss@cs.elte.hu>
Subject: Re: your submission to Memoirs of the AMS (fwd)
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Dear Steffen-

A few weeks ago you told us that you halted the refereeing process on our 
manuscript in order to clear up some issue raised by the referee. I 
responded to this then, but have not heard back whether you restarted the 
refereeing process. What can you tell us?

Yours,
Keith


On Wed, 1 Aug 2007, Keith Kearnes wrote:

> Dear Steffen-
>
> I am the corresponding author (Keith Kearnes). I am currently on a bicycle tour
> of the US Pacific coast from Canada to Mexico and I have limited access to the internet, so my answer will have to be `brief'. Also, I will have to quote facts from memory. I could probably give a more complete and accurate answer when I
> get back to Boulder in a few weeks, but since it seems that you have halted
> the refereeing process I feel obligated to answer now.
>
> What we wrote (or did not write) about George Gratzer in our MS was not an
> oversight, and was not malice. What we wrote was correct, and what the
> referee writes in his email is incorrect.
> He gives an inaccurate portrayal of the purpose of our MS, of the `historical
> content' of our MS, and of the true events.
>
> A. The referee's commission.
>
> Each journal has its own acceptance criteria. Those of the AMS Memoirs are that a paper be:
> (i) correct
> (ii) new
> (iii) significant
> (iv) well written
> (v) of interest to a substantial number of mathematicians.
>
> A referee is an expert employed to determine if THESE criteria are met.
> Any statements by a referee on matters of taste or opinion are outside of
> his commission. But this is exactly what our referee is doing: he is stating
> that George Gratzer should be represented as `more influential' than we have
> represented him. This is his opinion, but outside of his commission. Such
> remarks should have NO WEIGHT in the consideration of our MS.
> ---
> B. The referee's remarks are factually incorrect.
>
> The referee states that Gratzer's sole paper on Maltsev conditions ``was
> the first paper on the topic''. This is FALSE. If it were the first, then obviously they would be called `Gratzer conditions', not `Maltsev conditions'!
>
> What is universally considered to be the first paper on Maltsev conditions is Maltsev's 1953 paper, which predates Gratzer's paper by 17 years.
> Indeed, Gratzer's paper was not the SECOND paper on
> Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), ...etc.
>
> In fact, Gratzer's paper itself contains citations to FOUR earlier papers on
> Maltsev conditions in the bibliography! How then could his be the first???
> Indeed, I am really astonished that the referee can quote the abstract to
> Gratzer's paper as saying
> ``This paper is patterned after theorems of Maltsev and Jonsson...''
>                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
> and then claim that Gratzer's paper is the first!!
> How can a paper whose abstract admits ``This paper is patterned after earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev conditions???
> ---
> C. Even if the referee's statements were true, they would be irrelevant.
>
> Our manuscript is about the question:
>
> (*) Which varieties satisfy congruence identities?
>
> Our MS is *NOT* about Maltsev conditions, it is about congruence identities.
> It is true that we are forced to explore
> the interplay between SPECIAL TYPES of Maltsev conditions,
> SPECIAL TYPES of term conditions, and SPECIAL TYPES of
> congruence lattice shapes. We make no attempt to delineate the
> general history of Maltsev conditions, OR the general history of term
> conditions, OR the general history of congruence lattices. Instead we make
> historical references only when they are DIRECTLY RELEVANT to the MS.
> In the case of Maltsev conditions, the only ones directly relevant to
> the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES
> (because that is what the MS is about).
>
> Gratzer wrote a single paper on Maltsev conditions. It has no
> DIRECT RELEVANCE to anything in our MS, because it does
> not concern Maltsev conditions associated to congruence identities.
> This alone is sufficient to exclude it from mention.
> (Or, to put this in the reverse way, in order to qualify for mention
> on our MS, a paper must be DIRECTLY RELEVANT to the theorems
> we prove, and Gratzer's is not.)
>
> D. How much `history' is appropriate??
>
> I am skeptical of the `mathematical histories' included in research articles.
> It is my experience that authors who include these are not trying record history,
> but to REWRITE history.
>
> For example, I know of a paper by Mathematicians A and B where, immediately
> after publication, EACH of A and B confided to me that 70-80% of the results
> were theirs and only 20-30% were due to the other coauthor. This is mathematically impossible, but I believe that both authors were sincere in their
> assessments. People just don't see things the same way, even at the
> moment an idea is created.
>
> Furthermore, `history' changes over time. I know an example where
> C and D wrote a book. At the time of publication I asked C how it
> came about, and he said ``D came to me with the first theorem of
> this subject. He had the main idea that made later things work.''
> I later learned that certain chapters came directly out of D's PhD thesis.
> Yet ten years later I heard C refer to the joint work as ``MY theory''.
> In fact, a third author E wrote a later book with a chapter
> summarizing the main results of book [CD], and the chapter was called
> ``C's theory''. Coathor D had been completely written out of the picture
> in the space of 10 years!
> One cannot trust memory (and this includes the memory of the `older
> gentleman' whose words guided the referee).
>
> I, personally, have had ideas attributed to me that were NOT mine, and ideas that WERE mine attributed to others.
>
> For all these reasons I do not include ANY `history for its own sake'
> in any of my writings. I do NO `storytelling' (as the referee calls it).
>
> I do, however, make the necessary historical references.
> They are typically of the form ``Theorem X is proved in paper [Y] by
> mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However,
> as I said above, this is only done when the theorem/idea is
> DIRECTLY RELEVANT to what I am writing. I must feel that the reader
> HAS TO KNOW about a theorem/idea to appreciate what I am writing, and
> I include the citation to DENY ORIGINALITY.
>
> These are my principles concerning `historical references', and they are
> reasonable ones. If one applies these priciples to Gratzer's paper, it is
> clear why it is not cited: no idea in his paper is connected to any idea
> in our MS. That alone is reason enough to omit mention of his paper.
>
> E. Final commments.
>
> (i) the referee claims that we dedicated our paper to Walter Taylor
> BECAUSE he solved a problem of Gratzer's.
> How the hell can he know that???
>
> The truth: Taylor is included in our dedication because he made the
> most significant contributions to the subject of Maltsev condition of any mathematician.  He has written NUMEROUS papers on the subject,
> transformed this area of research, and his book with Garcia is considered
> `The Bible' of the subject. (The referee claims Taylor wrote only one
> paper on Maltsev conditions. This assertion only further confirms his
> complete ignorance of this area of research, which Taylor dominated.)
>
> Moreover, every dedication of every book is at least partly a personal homage, something a referee clearly has no right to comment on. I have been deeply influenced by Taylor's work, and I have a right to express this in the dedication.
>
> (ii) the referee claims that our paper is `basically about lattices'. FALSE!
> It is basically about varieties.
>
> The referee then complains that, because our MS is `basically about lattices', we
> should have cited Gratzer's book on lattice theory. For the lattice theory we need
> we cite two basic textbooks: the one by Birkhoff (also known as the `father of
> lattice theory') and the one by Freese-Jezek-Nation, since we need specific
> material from that book. There was no intentional avoidance off Gratzer's book,
> but simply no need for so many references to basic material. (How petty must
> one be to insist that we cite Gratzer rather than Birkhoff!!!)
> ---------------------------------------------------------------------------------------------
> In summary:
> The referee is commenting on a matter of opinion, not fact.
> We are not obligated to prefer his taste over our own.
> His commments on the historical significance of Gratzer's
> contribution are not relevant because we do not include any
> historical survey of any topic in our MS, we only cite results that
> are directly relevant to the theorems we prove.
> Finally, his commments include many false statements and
> distortions of the truth.
>
> The only explanation I see for all of this is that he has a personal connection
> to George Gratzer (eg, is a PhD student or coauthor). He clearly does not
> much about Maltsev conditions. It is my impression that he made only a
> casual effort to understand the facts about which he was commenting.
>
> I hope that in the future you will give weight to item A above.
>
> Yours,
> Keith
>
>
> Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)
> From: Steffen Lempp
> To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
> Subject: your submission to Memoirs of the AMS
>
> Dear Profs. Kearnes and Kiss,
> I ran your manuscript by a referee and received the below report, after some
> discussions by phone (complicated and delayed by the fact that we live in a
> very different time zone, so I had to time my calls just right to catch the
> referee at an appropriate time).
> In any case, the referee raises some non-mathematical issues which I would like
> to resolve first: Can you please elaborate on the items raised by the referee?
> (I am assuming that this was a mere oversight rather than malice...)
> Once I have your answer, I will pass it along to the referee; and we will then
> start the usual refereeing process.
> Thanks,      Steffen Lempp
>
> ********************************************************************************
>
> Office address: Prof. Steffen Lempp
>   Department of Mathematics
>   University of Wisconsin
>   480 Lincoln Drive
>   Madison, WI 53706-1388   USA
> Office phone:   (608) 263-1975
> Office fax:     (608) 263-8891
> WWW home page:  http://www.math.wisc.edu/~lempp
>
> ********************************************************************************
>
> FROM THE REFEREE:
>
> Dear Prof. Lempp,
>
> When I started reading the manuscript, I was quite surprised. A few days ago,
> at the Vanderbilt Meeting, I was talking to an older mathematician about the
> subject matter of this book. We are both quite interested in the topic and we
> were perusing the MS of the book (mentioned several times at the meeting) we
> obtained from Kearnes' Web site -- it was posted there some time last year. My
> friend recalled that he first heard about Maltsev conditions at the 1968
> Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had a
> conversation with McKenzie defining the concept and stating that regularity and
> weak regularity are Maltsev type. This is a typical McKenzie story: he did not
> believe the result and stayed up all night to prove it.
>
> This is not the story being told in the MS. Since my friend related his
> recollections from 40 years ago, I decided to check the facts myself. This is
> what I found.
>
> Gratzer published the first paper on the topic:
>
> Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8
> (1970), 334--342.
>
> Here is the abstract (copied from Gratzer's Web site):
>
> "Patterned after theorems of Mal'cev and Jonsson, certain types of
> conditions for equational classes of algebras are named "Mal'cev type".
> Regularity and weak regularity of equational classes of algebras are
> proved to be of "Mal'cev Type"."
>
> Then, at the end of the paper he states four conditions that a class defined by
> a Maltsev condition has to satisfy. He raises the question:
>
> "It is an open problem whether (i)-(iv) along with some further
> conditions of this type could characterize properties that are
> equivalent to Mal'cev-type conditions."
>
> This problem was solved by Walter Taylor, published as Characterizing Mal'cev
> conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so that
> the five conditions together are necessary and sufficient.
>
> This MS is dedicated to three people, Taylor being one, for his contribution to
> Maltsev conditions (his one paper in which Gratzer's problem is solved).
> Gratzer's paper is not referenced, and he is not given credit at all.
>
> It gets even more interesting. This is a book, basically, on lattices.
> Gratzer's lattice book is not referenced, nor is his new book, The Congruences
> of a Finite Lattice (2006), which would have been particularly appropriate
> since it contains a brief introduction to lattices containing most of what they
> need.
>
> In the references I find only one work of Gratzer, with two typos. What would
> Freud say about this?
>
> Curious story.
>
> Best regards,
>
>                                        XXX
>
>
>
> ---
> Keith A. Kearnes
> k_kearnes@yahoo.com
>
> ---------------------------------
> Park yourself in front of a world of choices in alternative vehicles.
> Visit the Yahoo! Auto Green Center.

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From lempp@math.wisc.edu  Mon Aug 27 14:36:41 2007
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Date: Mon, 27 Aug 2007 15:36:32 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@colorado.edu>
cc: Keith Kearnes <kearnes@euclid.colorado.edu>, Emil Kiss <ewkiss@cs.elte.hu>
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Dear Keith,
I am glad you asked: Our spam filter here is VERY sensitive, so it must have 
gotten lost. I'm very sorry that I didn't catch your name when I cleaned out 
my spam mailbox. (I get at least 50 spams a day and clean it out about once a 
week.)
Can you please resend your message? I'll whitelist your addresses so it won't 
get lost again.
With apologies,				Steffen

On Mon, 27 Aug 2007, Keith A. Kearnes wrote:

> Dear Steffen-
>
> A few weeks ago you told us that you halted the refereeing process on our 
> manuscript in order to clear up some issue raised by the referee. I responded 
> to this then, but have not heard back whether you restarted the refereeing 
> process. What can you tell us?
>
> Yours,
> Keith
>
>
> On Wed, 1 Aug 2007, Keith Kearnes wrote:
>
>> Dear Steffen-
>> 
>> I am the corresponding author (Keith Kearnes). I am currently on a bicycle 
>> tour
>> of the US Pacific coast from Canada to Mexico and I have limited access to 
>> the internet, so my answer will have to be `brief'. Also, I will have to 
>> quote facts from memory. I could probably give a more complete and accurate 
>> answer when I
>> get back to Boulder in a few weeks, but since it seems that you have halted
>> the refereeing process I feel obligated to answer now.
>> 
>> What we wrote (or did not write) about George Gratzer in our MS was not an
>> oversight, and was not malice. What we wrote was correct, and what the
>> referee writes in his email is incorrect.
>> He gives an inaccurate portrayal of the purpose of our MS, of the 
>> `historical
>> content' of our MS, and of the true events.
>> 
>> A. The referee's commission.
>> 
>> Each journal has its own acceptance criteria. Those of the AMS Memoirs are 
>> that a paper be:
>> (i) correct
>> (ii) new
>> (iii) significant
>> (iv) well written
>> (v) of interest to a substantial number of mathematicians.
>> 
>> A referee is an expert employed to determine if THESE criteria are met.
>> Any statements by a referee on matters of taste or opinion are outside of
>> his commission. But this is exactly what our referee is doing: he is 
>> stating
>> that George Gratzer should be represented as `more influential' than we 
>> have
>> represented him. This is his opinion, but outside of his commission. Such
>> remarks should have NO WEIGHT in the consideration of our MS.
>> ---
>> B. The referee's remarks are factually incorrect.
>> 
>> The referee states that Gratzer's sole paper on Maltsev conditions ``was
>> the first paper on the topic''. This is FALSE. If it were the first, then 
>> obviously they would be called `Gratzer conditions', not `Maltsev 
>> conditions'!
>> 
>> What is universally considered to be the first paper on Maltsev conditions 
>> is Maltsev's 1953 paper, which predates Gratzer's paper by 17 years.
>> Indeed, Gratzer's paper was not the SECOND paper on
>> Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), 
>> ...etc.
>> 
>> In fact, Gratzer's paper itself contains citations to FOUR earlier papers 
>> on
>> Maltsev conditions in the bibliography! How then could his be the first???
>> Indeed, I am really astonished that the referee can quote the abstract to
>> Gratzer's paper as saying
>> ``This paper is patterned after theorems of Maltsev and Jonsson...''
>>                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>> and then claim that Gratzer's paper is the first!!
>> How can a paper whose abstract admits ``This paper is patterned after 
>> earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev 
>> conditions???
>> ---
>> C. Even if the referee's statements were true, they would be irrelevant.
>> 
>> Our manuscript is about the question:
>> 
>> (*) Which varieties satisfy congruence identities?
>> 
>> Our MS is *NOT* about Maltsev conditions, it is about congruence 
>> identities.
>> It is true that we are forced to explore
>> the interplay between SPECIAL TYPES of Maltsev conditions,
>> SPECIAL TYPES of term conditions, and SPECIAL TYPES of
>> congruence lattice shapes. We make no attempt to delineate the
>> general history of Maltsev conditions, OR the general history of term
>> conditions, OR the general history of congruence lattices. Instead we make
>> historical references only when they are DIRECTLY RELEVANT to the MS.
>> In the case of Maltsev conditions, the only ones directly relevant to
>> the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES
>> (because that is what the MS is about).
>> 
>> Gratzer wrote a single paper on Maltsev conditions. It has no
>> DIRECT RELEVANCE to anything in our MS, because it does
>> not concern Maltsev conditions associated to congruence identities.
>> This alone is sufficient to exclude it from mention.
>> (Or, to put this in the reverse way, in order to qualify for mention
>> on our MS, a paper must be DIRECTLY RELEVANT to the theorems
>> we prove, and Gratzer's is not.)
>> 
>> D. How much `history' is appropriate??
>> 
>> I am skeptical of the `mathematical histories' included in research 
>> articles.
>> It is my experience that authors who include these are not trying record 
>> history,
>> but to REWRITE history.
>> 
>> For example, I know of a paper by Mathematicians A and B where, immediately
>> after publication, EACH of A and B confided to me that 70-80% of the 
>> results
>> were theirs and only 20-30% were due to the other coauthor. This is 
>> mathematically impossible, but I believe that both authors were sincere in 
>> their
>> assessments. People just don't see things the same way, even at the
>> moment an idea is created.
>> 
>> Furthermore, `history' changes over time. I know an example where
>> C and D wrote a book. At the time of publication I asked C how it
>> came about, and he said ``D came to me with the first theorem of
>> this subject. He had the main idea that made later things work.''
>> I later learned that certain chapters came directly out of D's PhD thesis.
>> Yet ten years later I heard C refer to the joint work as ``MY theory''.
>> In fact, a third author E wrote a later book with a chapter
>> summarizing the main results of book [CD], and the chapter was called
>> ``C's theory''. Coathor D had been completely written out of the picture
>> in the space of 10 years!
>> One cannot trust memory (and this includes the memory of the `older
>> gentleman' whose words guided the referee).
>> 
>> I, personally, have had ideas attributed to me that were NOT mine, and 
>> ideas that WERE mine attributed to others.
>> 
>> For all these reasons I do not include ANY `history for its own sake'
>> in any of my writings. I do NO `storytelling' (as the referee calls it).
>> 
>> I do, however, make the necessary historical references.
>> They are typically of the form ``Theorem X is proved in paper [Y] by
>> mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However,
>> as I said above, this is only done when the theorem/idea is
>> DIRECTLY RELEVANT to what I am writing. I must feel that the reader
>> HAS TO KNOW about a theorem/idea to appreciate what I am writing, and
>> I include the citation to DENY ORIGINALITY.
>> 
>> These are my principles concerning `historical references', and they are
>> reasonable ones. If one applies these priciples to Gratzer's paper, it is
>> clear why it is not cited: no idea in his paper is connected to any idea
>> in our MS. That alone is reason enough to omit mention of his paper.
>> 
>> E. Final commments.
>> 
>> (i) the referee claims that we dedicated our paper to Walter Taylor
>> BECAUSE he solved a problem of Gratzer's.
>> How the hell can he know that???
>> 
>> The truth: Taylor is included in our dedication because he made the
>> most significant contributions to the subject of Maltsev condition of any 
>> mathematician.  He has written NUMEROUS papers on the subject,
>> transformed this area of research, and his book with Garcia is considered
>> `The Bible' of the subject. (The referee claims Taylor wrote only one
>> paper on Maltsev conditions. This assertion only further confirms his
>> complete ignorance of this area of research, which Taylor dominated.)
>> 
>> Moreover, every dedication of every book is at least partly a personal 
>> homage, something a referee clearly has no right to comment on. I have been 
>> deeply influenced by Taylor's work, and I have a right to express this in 
>> the dedication.
>> 
>> (ii) the referee claims that our paper is `basically about lattices'. 
>> FALSE!
>> It is basically about varieties.
>> 
>> The referee then complains that, because our MS is `basically about 
>> lattices', we
>> should have cited Gratzer's book on lattice theory. For the lattice theory 
>> we need
>> we cite two basic textbooks: the one by Birkhoff (also known as the `father 
>> of
>> lattice theory') and the one by Freese-Jezek-Nation, since we need specific
>> material from that book. There was no intentional avoidance off Gratzer's 
>> book,
>> but simply no need for so many references to basic material. (How petty 
>> must
>> one be to insist that we cite Gratzer rather than Birkhoff!!!)
>> 
>> ---------------------------------------------------------------------------------------------
>> In summary:
>> The referee is commenting on a matter of opinion, not fact.
>> We are not obligated to prefer his taste over our own.
>> His commments on the historical significance of Gratzer's
>> contribution are not relevant because we do not include any
>> historical survey of any topic in our MS, we only cite results that
>> are directly relevant to the theorems we prove.
>> Finally, his commments include many false statements and
>> distortions of the truth.
>> 
>> The only explanation I see for all of this is that he has a personal 
>> connection
>> to George Gratzer (eg, is a PhD student or coauthor). He clearly does not
>> much about Maltsev conditions. It is my impression that he made only a
>> casual effort to understand the facts about which he was commenting.
>> 
>> I hope that in the future you will give weight to item A above.
>> 
>> Yours,
>> Keith
>> 
>> 
>> Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)
>> From: Steffen Lempp
>> To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
>> Subject: your submission to Memoirs of the AMS
>> 
>> Dear Profs. Kearnes and Kiss,
>> I ran your manuscript by a referee and received the below report, after 
>> some
>> discussions by phone (complicated and delayed by the fact that we live in a
>> very different time zone, so I had to time my calls just right to catch the
>> referee at an appropriate time).
>> In any case, the referee raises some non-mathematical issues which I would 
>> like
>> to resolve first: Can you please elaborate on the items raised by the 
>> referee?
>> (I am assuming that this was a mere oversight rather than malice...)
>> Once I have your answer, I will pass it along to the referee; and we will 
>> then
>> start the usual refereeing process.
>> Thanks,      Steffen Lempp
>> 
>> ********************************************************************************
>> 
>> Office address: Prof. Steffen Lempp
>>   Department of Mathematics
>>   University of Wisconsin
>>   480 Lincoln Drive
>>   Madison, WI 53706-1388   USA
>> Office phone:   (608) 263-1975
>> Office fax:     (608) 263-8891
>> WWW home page:  http://www.math.wisc.edu/~lempp
>> 
>> ********************************************************************************
>> 
>> FROM THE REFEREE:
>> 
>> Dear Prof. Lempp,
>> 
>> When I started reading the manuscript, I was quite surprised. A few days 
>> ago,
>> at the Vanderbilt Meeting, I was talking to an older mathematician about 
>> the
>> subject matter of this book. We are both quite interested in the topic and 
>> we
>> were perusing the MS of the book (mentioned several times at the meeting) 
>> we
>> obtained from Kearnes' Web site -- it was posted there some time last year. 
>> My
>> friend recalled that he first heard about Maltsev conditions at the 1968
>> Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had a
>> conversation with McKenzie defining the concept and stating that regularity 
>> and
>> weak regularity are Maltsev type. This is a typical McKenzie story: he did 
>> not
>> believe the result and stayed up all night to prove it.
>> 
>> This is not the story being told in the MS. Since my friend related his
>> recollections from 40 years ago, I decided to check the facts myself. This 
>> is
>> what I found.
>> 
>> Gratzer published the first paper on the topic:
>> 
>> Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8
>> (1970), 334--342.
>> 
>> Here is the abstract (copied from Gratzer's Web site):
>> 
>> "Patterned after theorems of Mal'cev and Jonsson, certain types of
>> conditions for equational classes of algebras are named "Mal'cev type".
>> Regularity and weak regularity of equational classes of algebras are
>> proved to be of "Mal'cev Type"."
>> 
>> Then, at the end of the paper he states four conditions that a class 
>> defined by
>> a Maltsev condition has to satisfy. He raises the question:
>> 
>> "It is an open problem whether (i)-(iv) along with some further
>> conditions of this type could characterize properties that are
>> equivalent to Mal'cev-type conditions."
>> 
>> This problem was solved by Walter Taylor, published as Characterizing 
>> Mal'cev
>> conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so 
>> that
>> the five conditions together are necessary and sufficient.
>> 
>> This MS is dedicated to three people, Taylor being one, for his 
>> contribution to
>> Maltsev conditions (his one paper in which Gratzer's problem is solved).
>> Gratzer's paper is not referenced, and he is not given credit at all.
>> 
>> It gets even more interesting. This is a book, basically, on lattices.
>> Gratzer's lattice book is not referenced, nor is his new book, The 
>> Congruences
>> of a Finite Lattice (2006), which would have been particularly appropriate
>> since it contains a brief introduction to lattices containing most of what 
>> they
>> need.
>> 
>> In the references I find only one work of Gratzer, with two typos. What 
>> would
>> Freud say about this?
>> 
>> Curious story.
>> 
>> Best regards,
>>
>>                                        XXX
>> 
>> 
>> 
>> ---
>> Keith A. Kearnes
>> k_kearnes@yahoo.com
>> 
>> ---------------------------------
>> Park yourself in front of a world of choices in alternative vehicles.
>> Visit the Yahoo! Auto Green Center.
>
> -- 
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
>
>

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From kearnes@Colorado.EDU  Mon Aug 27 14:44:38 2007
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Date: Mon, 27 Aug 2007 14:44:38 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Steffen Lempp <lempp@math.wisc.edu>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>,
        Emil Kiss <ewkiss@cs.elte.hu>
Subject: Re: your submission to Memoirs of the AMS (fwd)
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> Dear Keith,
> I am glad you asked: Our spam filter here is VERY sensitive, so it must have 
> gotten lost. I'm very sorry that I didn't catch your name when I cleaned out 
> my spam mailbox. (I get at least 50 spams a day and clean it out about once a 
> week.)
> Can you please resend your message? I'll whitelist your addresses so it won't 
> get lost again.
> With apologies,				Steffen


I included it at the end of the message I just sent to you. (Hence it 
is included again at the foot of *this* message.)

Yours,
Keith

>
> On Mon, 27 Aug 2007, Keith A. Kearnes wrote:
>
>> Dear Steffen-
>> 
>> A few weeks ago you told us that you halted the refereeing process on our 
>> manuscript in order to clear up some issue raised by the referee. I 
>> responded to this then, but have not heard back whether you restarted the 
>> refereeing process. What can you tell us?
>> 
>> Yours,
>> Keith
>> 
>> 
>> On Wed, 1 Aug 2007, Keith Kearnes wrote:
>> 
>>> Dear Steffen-
>>> 
>>> I am the corresponding author (Keith Kearnes). I am currently on a bicycle 
>>> tour
>>> of the US Pacific coast from Canada to Mexico and I have limited access to 
>>> the internet, so my answer will have to be `brief'. Also, I will have to 
>>> quote facts from memory. I could probably give a more complete and 
>>> accurate answer when I
>>> get back to Boulder in a few weeks, but since it seems that you have 
>>> halted
>>> the refereeing process I feel obligated to answer now.
>>> 
>>> What we wrote (or did not write) about George Gratzer in our MS was not an
>>> oversight, and was not malice. What we wrote was correct, and what the
>>> referee writes in his email is incorrect.
>>> He gives an inaccurate portrayal of the purpose of our MS, of the 
>>> `historical
>>> content' of our MS, and of the true events.
>>> 
>>> A. The referee's commission.
>>> 
>>> Each journal has its own acceptance criteria. Those of the AMS Memoirs are 
>>> that a paper be:
>>> (i) correct
>>> (ii) new
>>> (iii) significant
>>> (iv) well written
>>> (v) of interest to a substantial number of mathematicians.
>>> 
>>> A referee is an expert employed to determine if THESE criteria are met.
>>> Any statements by a referee on matters of taste or opinion are outside of
>>> his commission. But this is exactly what our referee is doing: he is 
>>> stating
>>> that George Gratzer should be represented as `more influential' than we 
>>> have
>>> represented him. This is his opinion, but outside of his commission. Such
>>> remarks should have NO WEIGHT in the consideration of our MS.
>>> ---
>>> B. The referee's remarks are factually incorrect.
>>> 
>>> The referee states that Gratzer's sole paper on Maltsev conditions ``was
>>> the first paper on the topic''. This is FALSE. If it were the first, then 
>>> obviously they would be called `Gratzer conditions', not `Maltsev 
>>> conditions'!
>>> 
>>> What is universally considered to be the first paper on Maltsev conditions 
>>> is Maltsev's 1953 paper, which predates Gratzer's paper by 17 years.
>>> Indeed, Gratzer's paper was not the SECOND paper on
>>> Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), 
>>> ...etc.
>>> 
>>> In fact, Gratzer's paper itself contains citations to FOUR earlier papers 
>>> on
>>> Maltsev conditions in the bibliography! How then could his be the first???
>>> Indeed, I am really astonished that the referee can quote the abstract to
>>> Gratzer's paper as saying
>>> ``This paper is patterned after theorems of Maltsev and Jonsson...''
>>>                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>>> and then claim that Gratzer's paper is the first!!
>>> How can a paper whose abstract admits ``This paper is patterned after 
>>> earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev 
>>> conditions???
>>> ---
>>> C. Even if the referee's statements were true, they would be irrelevant.
>>> 
>>> Our manuscript is about the question:
>>> 
>>> (*) Which varieties satisfy congruence identities?
>>> 
>>> Our MS is *NOT* about Maltsev conditions, it is about congruence 
>>> identities.
>>> It is true that we are forced to explore
>>> the interplay between SPECIAL TYPES of Maltsev conditions,
>>> SPECIAL TYPES of term conditions, and SPECIAL TYPES of
>>> congruence lattice shapes. We make no attempt to delineate the
>>> general history of Maltsev conditions, OR the general history of term
>>> conditions, OR the general history of congruence lattices. Instead we make
>>> historical references only when they are DIRECTLY RELEVANT to the MS.
>>> In the case of Maltsev conditions, the only ones directly relevant to
>>> the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES
>>> (because that is what the MS is about).
>>> 
>>> Gratzer wrote a single paper on Maltsev conditions. It has no
>>> DIRECT RELEVANCE to anything in our MS, because it does
>>> not concern Maltsev conditions associated to congruence identities.
>>> This alone is sufficient to exclude it from mention.
>>> (Or, to put this in the reverse way, in order to qualify for mention
>>> on our MS, a paper must be DIRECTLY RELEVANT to the theorems
>>> we prove, and Gratzer's is not.)
>>> 
>>> D. How much `history' is appropriate??
>>> 
>>> I am skeptical of the `mathematical histories' included in research 
>>> articles.
>>> It is my experience that authors who include these are not trying record 
>>> history,
>>> but to REWRITE history.
>>> 
>>> For example, I know of a paper by Mathematicians A and B where, 
>>> immediately
>>> after publication, EACH of A and B confided to me that 70-80% of the 
>>> results
>>> were theirs and only 20-30% were due to the other coauthor. This is 
>>> mathematically impossible, but I believe that both authors were sincere in 
>>> their
>>> assessments. People just don't see things the same way, even at the
>>> moment an idea is created.
>>> 
>>> Furthermore, `history' changes over time. I know an example where
>>> C and D wrote a book. At the time of publication I asked C how it
>>> came about, and he said ``D came to me with the first theorem of
>>> this subject. He had the main idea that made later things work.''
>>> I later learned that certain chapters came directly out of D's PhD thesis.
>>> Yet ten years later I heard C refer to the joint work as ``MY theory''.
>>> In fact, a third author E wrote a later book with a chapter
>>> summarizing the main results of book [CD], and the chapter was called
>>> ``C's theory''. Coathor D had been completely written out of the picture
>>> in the space of 10 years!
>>> One cannot trust memory (and this includes the memory of the `older
>>> gentleman' whose words guided the referee).
>>> 
>>> I, personally, have had ideas attributed to me that were NOT mine, and 
>>> ideas that WERE mine attributed to others.
>>> 
>>> For all these reasons I do not include ANY `history for its own sake'
>>> in any of my writings. I do NO `storytelling' (as the referee calls it).
>>> 
>>> I do, however, make the necessary historical references.
>>> They are typically of the form ``Theorem X is proved in paper [Y] by
>>> mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However,
>>> as I said above, this is only done when the theorem/idea is
>>> DIRECTLY RELEVANT to what I am writing. I must feel that the reader
>>> HAS TO KNOW about a theorem/idea to appreciate what I am writing, and
>>> I include the citation to DENY ORIGINALITY.
>>> 
>>> These are my principles concerning `historical references', and they are
>>> reasonable ones. If one applies these priciples to Gratzer's paper, it is
>>> clear why it is not cited: no idea in his paper is connected to any idea
>>> in our MS. That alone is reason enough to omit mention of his paper.
>>> 
>>> E. Final commments.
>>> 
>>> (i) the referee claims that we dedicated our paper to Walter Taylor
>>> BECAUSE he solved a problem of Gratzer's.
>>> How the hell can he know that???
>>> 
>>> The truth: Taylor is included in our dedication because he made the
>>> most significant contributions to the subject of Maltsev condition of any 
>>> mathematician.  He has written NUMEROUS papers on the subject,
>>> transformed this area of research, and his book with Garcia is considered
>>> `The Bible' of the subject. (The referee claims Taylor wrote only one
>>> paper on Maltsev conditions. This assertion only further confirms his
>>> complete ignorance of this area of research, which Taylor dominated.)
>>> 
>>> Moreover, every dedication of every book is at least partly a personal 
>>> homage, something a referee clearly has no right to comment on. I have 
>>> been deeply influenced by Taylor's work, and I have a right to express 
>>> this in the dedication.
>>> 
>>> (ii) the referee claims that our paper is `basically about lattices'. 
>>> FALSE!
>>> It is basically about varieties.
>>> 
>>> The referee then complains that, because our MS is `basically about 
>>> lattices', we
>>> should have cited Gratzer's book on lattice theory. For the lattice theory 
>>> we need
>>> we cite two basic textbooks: the one by Birkhoff (also known as the 
>>> `father of
>>> lattice theory') and the one by Freese-Jezek-Nation, since we need 
>>> specific
>>> material from that book. There was no intentional avoidance off Gratzer's 
>>> book,
>>> but simply no need for so many references to basic material. (How petty 
>>> must
>>> one be to insist that we cite Gratzer rather than Birkhoff!!!)
>>>
>>> 
>>> ---------------------------------------------------------------------------------------------
>>> In summary:
>>> The referee is commenting on a matter of opinion, not fact.
>>> We are not obligated to prefer his taste over our own.
>>> His commments on the historical significance of Gratzer's
>>> contribution are not relevant because we do not include any
>>> historical survey of any topic in our MS, we only cite results that
>>> are directly relevant to the theorems we prove.
>>> Finally, his commments include many false statements and
>>> distortions of the truth.
>>> 
>>> The only explanation I see for all of this is that he has a personal 
>>> connection
>>> to George Gratzer (eg, is a PhD student or coauthor). He clearly does not
>>> much about Maltsev conditions. It is my impression that he made only a
>>> casual effort to understand the facts about which he was commenting.
>>> 
>>> I hope that in the future you will give weight to item A above.
>>> 
>>> Yours,
>>> Keith
>>> 
>>> 
>>> Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)
>>> From: Steffen Lempp
>>> To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
>>> Subject: your submission to Memoirs of the AMS
>>> 
>>> Dear Profs. Kearnes and Kiss,
>>> I ran your manuscript by a referee and received the below report, after 
>>> some
>>> discussions by phone (complicated and delayed by the fact that we live in 
>>> a
>>> very different time zone, so I had to time my calls just right to catch 
>>> the
>>> referee at an appropriate time).
>>> In any case, the referee raises some non-mathematical issues which I would 
>>> like
>>> to resolve first: Can you please elaborate on the items raised by the 
>>> referee?
>>> (I am assuming that this was a mere oversight rather than malice...)
>>> Once I have your answer, I will pass it along to the referee; and we will 
>>> then
>>> start the usual refereeing process.
>>> Thanks,      Steffen Lempp
>>> 
>>> ********************************************************************************
>>> 
>>> Office address: Prof. Steffen Lempp
>>>   Department of Mathematics
>>>   University of Wisconsin
>>>   480 Lincoln Drive
>>>   Madison, WI 53706-1388   USA
>>> Office phone:   (608) 263-1975
>>> Office fax:     (608) 263-8891
>>> WWW home page:  http://www.math.wisc.edu/~lempp
>>> 
>>> ********************************************************************************
>>> 
>>> FROM THE REFEREE:
>>> 
>>> Dear Prof. Lempp,
>>> 
>>> When I started reading the manuscript, I was quite surprised. A few days 
>>> ago,
>>> at the Vanderbilt Meeting, I was talking to an older mathematician about 
>>> the
>>> subject matter of this book. We are both quite interested in the topic and 
>>> we
>>> were perusing the MS of the book (mentioned several times at the meeting) 
>>> we
>>> obtained from Kearnes' Web site -- it was posted there some time last 
>>> year. My
>>> friend recalled that he first heard about Maltsev conditions at the 1968
>>> Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had 
>>> a
>>> conversation with McKenzie defining the concept and stating that 
>>> regularity and
>>> weak regularity are Maltsev type. This is a typical McKenzie story: he did 
>>> not
>>> believe the result and stayed up all night to prove it.
>>> 
>>> This is not the story being told in the MS. Since my friend related his
>>> recollections from 40 years ago, I decided to check the facts myself. This 
>>> is
>>> what I found.
>>> 
>>> Gratzer published the first paper on the topic:
>>> 
>>> Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8
>>> (1970), 334--342.
>>> 
>>> Here is the abstract (copied from Gratzer's Web site):
>>> 
>>> "Patterned after theorems of Mal'cev and Jonsson, certain types of
>>> conditions for equational classes of algebras are named "Mal'cev type".
>>> Regularity and weak regularity of equational classes of algebras are
>>> proved to be of "Mal'cev Type"."
>>> 
>>> Then, at the end of the paper he states four conditions that a class 
>>> defined by
>>> a Maltsev condition has to satisfy. He raises the question:
>>> 
>>> "It is an open problem whether (i)-(iv) along with some further
>>> conditions of this type could characterize properties that are
>>> equivalent to Mal'cev-type conditions."
>>> 
>>> This problem was solved by Walter Taylor, published as Characterizing 
>>> Mal'cev
>>> conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so 
>>> that
>>> the five conditions together are necessary and sufficient.
>>> 
>>> This MS is dedicated to three people, Taylor being one, for his 
>>> contribution to
>>> Maltsev conditions (his one paper in which Gratzer's problem is solved).
>>> Gratzer's paper is not referenced, and he is not given credit at all.
>>> 
>>> It gets even more interesting. This is a book, basically, on lattices.
>>> Gratzer's lattice book is not referenced, nor is his new book, The 
>>> Congruences
>>> of a Finite Lattice (2006), which would have been particularly appropriate
>>> since it contains a brief introduction to lattices containing most of what 
>>> they
>>> need.
>>> 
>>> In the references I find only one work of Gratzer, with two typos. What 
>>> would
>>> Freud say about this?
>>> 
>>> Curious story.
>>> 
>>> Best regards,
>>>
>>>                                        XXX
>>> 
>>> 
>>> 
>>> ---
>>> Keith A. Kearnes
>>> k_kearnes@yahoo.com
>>> 
>>> ---------------------------------
>>> Park yourself in front of a world of choices in alternative vehicles.
>>> Visit the Yahoo! Auto Green Center.
>> 
>> -- 
>> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
>> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
>> University of Colorado     Direct Phone: (303) 492-5203
>> 395 UCB                    Dept Phone: (303) 492-3613
>> Boulder, CO 80309-0395     Fax: (303) 492-7707
>> 
>> 
>
> ********************************************************************************
>
> Office address: Prof. Steffen Lempp
> 		Department of Mathematics
> 		University of Wisconsin
> 		480 Lincoln Drive
> 		Madison, WI 53706-1388   USA
> Office phone:   (608) 263-1975
> Office fax:     (608) 263-8891
> WWW home page:  http://www.math.wisc.edu/~lempp
>
> ********************************************************************************
>

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From lempp@math.wisc.edu  Mon Aug 27 14:48:56 2007
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Date: Mon, 27 Aug 2007 15:48:51 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@colorado.edu>
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Sorry I didn't catch that; I'm glad you were still on email, enjoy that bike 
ride!
I'll run your reply by the referee and then see what I need to do.
Best,					Steffen

On Mon, 27 Aug 2007, Keith A. Kearnes wrote:

>> Dear Keith,
>> I am glad you asked: Our spam filter here is VERY sensitive, so it must 
>> have gotten lost. I'm very sorry that I didn't catch your name when I 
>> cleaned out my spam mailbox. (I get at least 50 spams a day and clean it 
>> out about once a week.)
>> Can you please resend your message? I'll whitelist your addresses so it 
>> won't get lost again.
>> With apologies,				Steffen
>
>
> I included it at the end of the message I just sent to you. (Hence it is 
> included again at the foot of *this* message.)
>
> Yours,
> Keith
>
>> 
>> On Mon, 27 Aug 2007, Keith A. Kearnes wrote:
>> 
>>> Dear Steffen-
>>> 
>>> A few weeks ago you told us that you halted the refereeing process on our 
>>> manuscript in order to clear up some issue raised by the referee. I 
>>> responded to this then, but have not heard back whether you restarted the 
>>> refereeing process. What can you tell us?
>>> 
>>> Yours,
>>> Keith
>>> 
>>> 
>>> On Wed, 1 Aug 2007, Keith Kearnes wrote:
>>> 
>>>> Dear Steffen-
>>>> 
>>>> I am the corresponding author (Keith Kearnes). I am currently on a 
>>>> bicycle tour
>>>> of the US Pacific coast from Canada to Mexico and I have limited access 
>>>> to the internet, so my answer will have to be `brief'. Also, I will have 
>>>> to quote facts from memory. I could probably give a more complete and 
>>>> accurate answer when I
>>>> get back to Boulder in a few weeks, but since it seems that you have 
>>>> halted
>>>> the refereeing process I feel obligated to answer now.
>>>> 
>>>> What we wrote (or did not write) about George Gratzer in our MS was not 
>>>> an
>>>> oversight, and was not malice. What we wrote was correct, and what the
>>>> referee writes in his email is incorrect.
>>>> He gives an inaccurate portrayal of the purpose of our MS, of the 
>>>> `historical
>>>> content' of our MS, and of the true events.
>>>> 
>>>> A. The referee's commission.
>>>> 
>>>> Each journal has its own acceptance criteria. Those of the AMS Memoirs 
>>>> are that a paper be:
>>>> (i) correct
>>>> (ii) new
>>>> (iii) significant
>>>> (iv) well written
>>>> (v) of interest to a substantial number of mathematicians.
>>>> 
>>>> A referee is an expert employed to determine if THESE criteria are met.
>>>> Any statements by a referee on matters of taste or opinion are outside of
>>>> his commission. But this is exactly what our referee is doing: he is 
>>>> stating
>>>> that George Gratzer should be represented as `more influential' than we 
>>>> have
>>>> represented him. This is his opinion, but outside of his commission. Such
>>>> remarks should have NO WEIGHT in the consideration of our MS.
>>>> ---
>>>> B. The referee's remarks are factually incorrect.
>>>> 
>>>> The referee states that Gratzer's sole paper on Maltsev conditions ``was
>>>> the first paper on the topic''. This is FALSE. If it were the first, then 
>>>> obviously they would be called `Gratzer conditions', not `Maltsev 
>>>> conditions'!
>>>> 
>>>> What is universally considered to be the first paper on Maltsev 
>>>> conditions is Maltsev's 1953 paper, which predates Gratzer's paper by 17 
>>>> years.
>>>> Indeed, Gratzer's paper was not the SECOND paper on
>>>> Maltsev conditions (Pixley 1963), it was not the THIRD (Jonsson 1966), 
>>>> ...etc.
>>>> 
>>>> In fact, Gratzer's paper itself contains citations to FOUR earlier papers 
>>>> on
>>>> Maltsev conditions in the bibliography! How then could his be the 
>>>> first???
>>>> Indeed, I am really astonished that the referee can quote the abstract to
>>>> Gratzer's paper as saying
>>>> ``This paper is patterned after theorems of Maltsev and Jonsson...''
>>>>                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>>>> and then claim that Gratzer's paper is the first!!
>>>> How can a paper whose abstract admits ``This paper is patterned after 
>>>> earlier papers on Maltsev conditions...'' be the FIRST paper on Maltsev 
>>>> conditions???
>>>> ---
>>>> C. Even if the referee's statements were true, they would be irrelevant.
>>>> 
>>>> Our manuscript is about the question:
>>>> 
>>>> (*) Which varieties satisfy congruence identities?
>>>> 
>>>> Our MS is *NOT* about Maltsev conditions, it is about congruence 
>>>> identities.
>>>> It is true that we are forced to explore
>>>> the interplay between SPECIAL TYPES of Maltsev conditions,
>>>> SPECIAL TYPES of term conditions, and SPECIAL TYPES of
>>>> congruence lattice shapes. We make no attempt to delineate the
>>>> general history of Maltsev conditions, OR the general history of term
>>>> conditions, OR the general history of congruence lattices. Instead we 
>>>> make
>>>> historical references only when they are DIRECTLY RELEVANT to the MS.
>>>> In the case of Maltsev conditions, the only ones directly relevant to
>>>> the MS are THOSE ASSOCIATED TO CONGRUENCE IDENTITIES
>>>> (because that is what the MS is about).
>>>> 
>>>> Gratzer wrote a single paper on Maltsev conditions. It has no
>>>> DIRECT RELEVANCE to anything in our MS, because it does
>>>> not concern Maltsev conditions associated to congruence identities.
>>>> This alone is sufficient to exclude it from mention.
>>>> (Or, to put this in the reverse way, in order to qualify for mention
>>>> on our MS, a paper must be DIRECTLY RELEVANT to the theorems
>>>> we prove, and Gratzer's is not.)
>>>> 
>>>> D. How much `history' is appropriate??
>>>> 
>>>> I am skeptical of the `mathematical histories' included in research 
>>>> articles.
>>>> It is my experience that authors who include these are not trying record 
>>>> history,
>>>> but to REWRITE history.
>>>> 
>>>> For example, I know of a paper by Mathematicians A and B where, 
>>>> immediately
>>>> after publication, EACH of A and B confided to me that 70-80% of the 
>>>> results
>>>> were theirs and only 20-30% were due to the other coauthor. This is 
>>>> mathematically impossible, but I believe that both authors were sincere 
>>>> in their
>>>> assessments. People just don't see things the same way, even at the
>>>> moment an idea is created.
>>>> 
>>>> Furthermore, `history' changes over time. I know an example where
>>>> C and D wrote a book. At the time of publication I asked C how it
>>>> came about, and he said ``D came to me with the first theorem of
>>>> this subject. He had the main idea that made later things work.''
>>>> I later learned that certain chapters came directly out of D's PhD 
>>>> thesis.
>>>> Yet ten years later I heard C refer to the joint work as ``MY theory''.
>>>> In fact, a third author E wrote a later book with a chapter
>>>> summarizing the main results of book [CD], and the chapter was called
>>>> ``C's theory''. Coathor D had been completely written out of the picture
>>>> in the space of 10 years!
>>>> One cannot trust memory (and this includes the memory of the `older
>>>> gentleman' whose words guided the referee).
>>>> 
>>>> I, personally, have had ideas attributed to me that were NOT mine, and 
>>>> ideas that WERE mine attributed to others.
>>>> 
>>>> For all these reasons I do not include ANY `history for its own sake'
>>>> in any of my writings. I do NO `storytelling' (as the referee calls it).
>>>> 
>>>> I do, however, make the necessary historical references.
>>>> They are typically of the form ``Theorem X is proved in paper [Y] by
>>>> mathematician Z'' or ``Idea X is taken from [Y], written by Z''. However,
>>>> as I said above, this is only done when the theorem/idea is
>>>> DIRECTLY RELEVANT to what I am writing. I must feel that the reader
>>>> HAS TO KNOW about a theorem/idea to appreciate what I am writing, and
>>>> I include the citation to DENY ORIGINALITY.
>>>> 
>>>> These are my principles concerning `historical references', and they are
>>>> reasonable ones. If one applies these priciples to Gratzer's paper, it is
>>>> clear why it is not cited: no idea in his paper is connected to any idea
>>>> in our MS. That alone is reason enough to omit mention of his paper.
>>>> 
>>>> E. Final commments.
>>>> 
>>>> (i) the referee claims that we dedicated our paper to Walter Taylor
>>>> BECAUSE he solved a problem of Gratzer's.
>>>> How the hell can he know that???
>>>> 
>>>> The truth: Taylor is included in our dedication because he made the
>>>> most significant contributions to the subject of Maltsev condition of any 
>>>> mathematician.  He has written NUMEROUS papers on the subject,
>>>> transformed this area of research, and his book with Garcia is considered
>>>> `The Bible' of the subject. (The referee claims Taylor wrote only one
>>>> paper on Maltsev conditions. This assertion only further confirms his
>>>> complete ignorance of this area of research, which Taylor dominated.)
>>>> 
>>>> Moreover, every dedication of every book is at least partly a personal 
>>>> homage, something a referee clearly has no right to comment on. I have 
>>>> been deeply influenced by Taylor's work, and I have a right to express 
>>>> this in the dedication.
>>>> 
>>>> (ii) the referee claims that our paper is `basically about lattices'. 
>>>> FALSE!
>>>> It is basically about varieties.
>>>> 
>>>> The referee then complains that, because our MS is `basically about 
>>>> lattices', we
>>>> should have cited Gratzer's book on lattice theory. For the lattice 
>>>> theory we need
>>>> we cite two basic textbooks: the one by Birkhoff (also known as the 
>>>> `father of
>>>> lattice theory') and the one by Freese-Jezek-Nation, since we need 
>>>> specific
>>>> material from that book. There was no intentional avoidance off Gratzer's 
>>>> book,
>>>> but simply no need for so many references to basic material. (How petty 
>>>> must
>>>> one be to insist that we cite Gratzer rather than Birkhoff!!!)
>>>> 
>>>>
>>>> 
>>>> ---------------------------------------------------------------------------------------------
>>>> In summary:
>>>> The referee is commenting on a matter of opinion, not fact.
>>>> We are not obligated to prefer his taste over our own.
>>>> His commments on the historical significance of Gratzer's
>>>> contribution are not relevant because we do not include any
>>>> historical survey of any topic in our MS, we only cite results that
>>>> are directly relevant to the theorems we prove.
>>>> Finally, his commments include many false statements and
>>>> distortions of the truth.
>>>> 
>>>> The only explanation I see for all of this is that he has a personal 
>>>> connection
>>>> to George Gratzer (eg, is a PhD student or coauthor). He clearly does not
>>>> much about Maltsev conditions. It is my impression that he made only a
>>>> casual effort to understand the facts about which he was commenting.
>>>> 
>>>> I hope that in the future you will give weight to item A above.
>>>> 
>>>> Yours,
>>>> Keith
>>>> 
>>>> 
>>>> Date: Wed, 25 Jul 2007 13:44:22 -0500 (CDT)
>>>> From: Steffen Lempp
>>>> To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
>>>> Subject: your submission to Memoirs of the AMS
>>>> 
>>>> Dear Profs. Kearnes and Kiss,
>>>> I ran your manuscript by a referee and received the below report, after 
>>>> some
>>>> discussions by phone (complicated and delayed by the fact that we live in 
>>>> a
>>>> very different time zone, so I had to time my calls just right to catch 
>>>> the
>>>> referee at an appropriate time).
>>>> In any case, the referee raises some non-mathematical issues which I 
>>>> would like
>>>> to resolve first: Can you please elaborate on the items raised by the 
>>>> referee?
>>>> (I am assuming that this was a mere oversight rather than malice...)
>>>> Once I have your answer, I will pass it along to the referee; and we will 
>>>> then
>>>> start the usual refereeing process.
>>>> Thanks,      Steffen Lempp
>>>> 
>>>> ********************************************************************************
>>>> 
>>>> Office address: Prof. Steffen Lempp
>>>>   Department of Mathematics
>>>>   University of Wisconsin
>>>>   480 Lincoln Drive
>>>>   Madison, WI 53706-1388   USA
>>>> Office phone:   (608) 263-1975
>>>> Office fax:     (608) 263-8891
>>>> WWW home page:  http://www.math.wisc.edu/~lempp
>>>> 
>>>> ********************************************************************************
>>>> 
>>>> FROM THE REFEREE:
>>>> 
>>>> Dear Prof. Lempp,
>>>> 
>>>> When I started reading the manuscript, I was quite surprised. A few days 
>>>> ago,
>>>> at the Vanderbilt Meeting, I was talking to an older mathematician about 
>>>> the
>>>> subject matter of this book. We are both quite interested in the topic 
>>>> and we
>>>> were perusing the MS of the book (mentioned several times at the meeting) 
>>>> we
>>>> obtained from Kearnes' Web site -- it was posted there some time last 
>>>> year. My
>>>> friend recalled that he first heard about Maltsev conditions at the 1968
>>>> Universal Algebra Meeting in Oberwolfach. He was present when Gratzer had 
>>>> a
>>>> conversation with McKenzie defining the concept and stating that 
>>>> regularity and
>>>> weak regularity are Maltsev type. This is a typical McKenzie story: he 
>>>> did not
>>>> believe the result and stayed up all night to prove it.
>>>> 
>>>> This is not the story being told in the MS. Since my friend related his
>>>> recollections from 40 years ago, I decided to check the facts myself. 
>>>> This is
>>>> what I found.
>>>> 
>>>> Gratzer published the first paper on the topic:
>>>> 
>>>> Two Mal'cev type theorems in universal algebra, J. Combinatorial Theory 8
>>>> (1970), 334--342.
>>>> 
>>>> Here is the abstract (copied from Gratzer's Web site):
>>>> 
>>>> "Patterned after theorems of Mal'cev and Jonsson, certain types of
>>>> conditions for equational classes of algebras are named "Mal'cev type".
>>>> Regularity and weak regularity of equational classes of algebras are
>>>> proved to be of "Mal'cev Type"."
>>>> 
>>>> Then, at the end of the paper he states four conditions that a class 
>>>> defined by
>>>> a Maltsev condition has to satisfy. He raises the question:
>>>> 
>>>> "It is an open problem whether (i)-(iv) along with some further
>>>> conditions of this type could characterize properties that are
>>>> equivalent to Mal'cev-type conditions."
>>>> 
>>>> This problem was solved by Walter Taylor, published as Characterizing 
>>>> Mal'cev
>>>> conditions in Alg. Univ. 3 (1973), 351-397. He found a fifth condition so 
>>>> that
>>>> the five conditions together are necessary and sufficient.
>>>> 
>>>> This MS is dedicated to three people, Taylor being one, for his 
>>>> contribution to
>>>> Maltsev conditions (his one paper in which Gratzer's problem is solved).
>>>> Gratzer's paper is not referenced, and he is not given credit at all.
>>>> 
>>>> It gets even more interesting. This is a book, basically, on lattices.
>>>> Gratzer's lattice book is not referenced, nor is his new book, The 
>>>> Congruences
>>>> of a Finite Lattice (2006), which would have been particularly 
>>>> appropriate
>>>> since it contains a brief introduction to lattices containing most of 
>>>> what they
>>>> need.
>>>> 
>>>> In the references I find only one work of Gratzer, with two typos. What 
>>>> would
>>>> Freud say about this?
>>>> 
>>>> Curious story.
>>>> 
>>>> Best regards,
>>>>
>>>>                                        XXX
>>>> 
>>>> 
>>>> 
>>>> ---
>>>> Keith A. Kearnes
>>>> k_kearnes@yahoo.com
>>>> 
>>>> ---------------------------------
>>>> Park yourself in front of a world of choices in alternative vehicles.
>>>> Visit the Yahoo! Auto Green Center.
>>> 
>>> -- 
>>> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
>>> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
>>> University of Colorado     Direct Phone: (303) 492-5203
>>> 395 UCB                    Dept Phone: (303) 492-3613
>>> Boulder, CO 80309-0395     Fax: (303) 492-7707
>>> 
>>> 
>> 
>> ********************************************************************************
>> 
>> Office address: Prof. Steffen Lempp
>> 		Department of Mathematics
>> 		University of Wisconsin
>> 		480 Lincoln Drive
>> 		Madison, WI 53706-1388   USA
>> Office phone:   (608) 263-1975
>> Office fax:     (608) 263-8891
>> WWW home page:  http://www.math.wisc.edu/~lempp
>> 
>> ********************************************************************************
>> 
>
> -- 
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
>
>

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From lempp@math.wisc.edu  Fri Aug 31 12:19:42 2007
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Date: Fri, 31 Aug 2007 13:19:37 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
cc: Keith Kearnes <kearnes@euclid.colorado.edu>, Emil Kiss <ewkiss@cs.elte.hu>
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Dear Keith,
Given the very delicate situation I was put in by the conflict between you and 
the referee, and given that I am relatively unfamiliar with your area, I have 
consulted with two more senior people whom I know personally and trust.
Both of them have essentially sided with you in this conflict: While they both 
would have liked to see more history mentioned in your manuscript, they did 
confirm that the history you do present is accurate, and also described your 
manuscript as very interesting and definitely worth publishing, assuming, as 
usual, correctness and presentation.
I have therefore decided to ask the current referee to bow out and am now 
looking for an alternate referee. I have already asked another referee and 
expect to hear from him/her positively within a week or so.
Please rest assured that I am doing my utmost to treat your manuscript in a 
fair and unbiased manner.
Best regards,					Steffen

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From kearnes@Colorado.EDU  Fri Aug 31 12:21:59 2007
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Date: Fri, 31 Aug 2007 12:21:59 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Steffen Lempp <lempp@math.wisc.edu>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>,
        Emil Kiss <ewkiss@cs.elte.hu>
Subject: Re: your submission to Memoirs of the AMS 
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> I have therefore decided to ask the current referee to bow out and am now 
> looking for an alternate referee. I have already asked another referee and 
> expect to hear from him/her positively within a week or so.

Thanks! This sounds like the best solution.

Yours,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From lempp@math.wisc.edu  Fri Jun 20 22:36:36 2008
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From: Steffen Lempp <lempp@math.wisc.edu>
To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
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--------------070401020401040709050108
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Content-ID: <Pine.LNX.4.63.0806202332082.14203@erdos.math.wisc.edu>

Dear Profs. Kearnes and Kiss,
Enclosed please find a very positive and very detailed report on your 
manuscript for the Memoirs; in three parts, a short and very encouraging 
report, a marked-up copy of your manuscript, and a summary of the mark-ups.
(It's by far the fanciest report I've ever received in my more than 10 years 
as JSL and then TAMS/MAMS editor!)
I'm looking forward to receiving a revised copy from you and will pass that 
by the referee one more time then.
Best,						Steffen Lempp

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************
--------------070401020401040709050108
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Content-Disposition: inline; filename="Summary of Comments on kearnes-kiss-markup.pdf"

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From Keith.Kearnes@Colorado.EDU  Sun Jun 22 12:35:24 2008
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From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Steffen Lempp <lempp@math.wisc.edu>
cc: Emil Kiss <ewkiss@cs.elte.hu>, Keith Kearnes <kearnes@euclid.colorado.edu>
Subject: Re: referee's report for MAMS
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Thanks for your efforts, Steffen. We look forward to reading the report.

I am traveling in Eorupe now, and will be in Japan next month. I have a 
laptop with me, but the display is on the fritz. I may not be able to 
implement the changes until August. I hope that is OK.

Yours,
Keith


On Fri, 20 Jun 2008, Steffen Lempp wrote:

> Dear Profs. Kearnes and Kiss,
> Enclosed please find a very positive and very detailed report on your 
> manuscript for the Memoirs; in three parts, a short and very encouraging 
> report, a marked-up copy of your manuscript, and a summary of the mark-ups.
> (It's by far the fanciest report I've ever received in my more than 10 years 
> as JSL and then TAMS/MAMS editor!)
> I'm looking forward to receiving a revised copy from you and will pass that 
> by the referee one more time then.
> Best,						Steffen Lempp
>
> ********************************************************************************
>
> Office address: Prof. Steffen Lempp
> 		Department of Mathematics
> 		University of Wisconsin
> 		480 Lincoln Drive
> 		Madison, WI 53706-1388   USA
> Office phone:   (608) 263-1975
> Office fax:     (608) 263-8891
> WWW home page:  http://www.math.wisc.edu/~lempp
>
> ********************************************************************************

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

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> I am traveling in Eorupe now, and will be in Japan next month. I have a 
> laptop with me, but the display is on the fritz. I may not be able to 
> implement the changes until August. I hope that is OK.

What is a fritz?

Can I help in any way? Like spell-checking, or lending you a
laptop?

This is of course not meant to rush you.

How was the trip? How long will you be in Szeged?
It is still the examination period here, though I am able to
skip on weekends to Lake Balaton.

Emil

Have you received the problem of Chinese girls?

From lempp@math.wisc.edu  Sun Jun 22 20:10:15 2008
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Date: Sun, 22 Jun 2008 21:10:24 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@colorado.edu>
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Dear Keith,
There is no rush for me myself. The referee would probably appreciate seeing 
the revised version before he/she has forgotten too much (or is caught up in 
the fall/winter semester rush again).
Best,					Steffen

On Sun, 22 Jun 2008, Keith A. Kearnes wrote:

>
> Thanks for your efforts, Steffen. We look forward to reading the report.
>
> I am traveling in Eorupe now, and will be in Japan next month. I have a 
> laptop with me, but the display is on the fritz. I may not be able to 
> implement the changes until August. I hope that is OK.
>
> Yours,
> Keith
>
>
> On Fri, 20 Jun 2008, Steffen Lempp wrote:
>
>> Dear Profs. Kearnes and Kiss,
>> Enclosed please find a very positive and very detailed report on your 
>> manuscript for the Memoirs; in three parts, a short and very encouraging 
>> report, a marked-up copy of your manuscript, and a summary of the mark-ups.
>> (It's by far the fanciest report I've ever received in my more than 10 
>> years as JSL and then TAMS/MAMS editor!)
>> I'm looking forward to receiving a revised copy from you and will pass that 
>> by the referee one more time then.
>> Best,						Steffen Lempp
>> 
>> ********************************************************************************
>> 
>> Office address: Prof. Steffen Lempp
>> 		Department of Mathematics
>> 		University of Wisconsin
>> 		480 Lincoln Drive
>> 		Madison, WI 53706-1388   USA
>> Office phone:   (608) 263-1975
>> Office fax:     (608) 263-8891
>> WWW home page:  http://www.math.wisc.edu/~lempp
>> 
>> ********************************************************************************
>
> -- 
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
>
>

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From Keith.Kearnes@Colorado.EDU  Mon Jun 23 06:32:14 2008
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> Can I help in any way? Like spell-checking, or lending you a
> laptop?


Agi has a desktop and a laptop, so we can both work while we are in 
Szeged. I don't expect to be able to do anything while we are in Japan.


> How was the trip? How long will you be in Szeged?

The bike trip was OK, but the first few days it rained all day long.
I would have enjoyed spending a few more days in Vienna, but at
least I got a slice of Sacher torte from Hotel Sacher.


We will be in Szeged for 4 more weeks.

Agi told me about the chinese girls problem, but I didn't
understand the wording. (She relays my mail to me.)
Now I understand it, but don't have a solution yet.

Yours,
Keith

---
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From Keith.Kearnes@Colorado.EDU  Thu Oct 30 08:44:48 2008
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To: Ralph Freese <ralph@math.hawaii.edu>
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> Is the last sentence in the proof of Lemma 3.11 missing the word "fails"?

The proof in the Fall 2006 version (online version) has this as the last 
sentence:

"Since every tolerance on every member of the variety of sets is strongly 
abelian, this idempotent Maltsev condition fails in the variety of sets, 
hence is nontrivial."

Is this the sentence you mean?

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From ralph@math.hawaii.edu  Thu Oct 30 11:00:14 2008
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Yes. My old version reads exactly the same but without "fails". I should 
have checked the online version.


On Thu, 30 Oct 2008, Keith A. Kearnes wrote:

>> Is the last sentence in the proof of Lemma 3.11 missing the word "fails"?
>
> The proof in the Fall 2006 version (online version) has this as the last 
> sentence:
>
> "Since every tolerance on every member of the variety of sets is strongly 
> abelian, this idempotent Maltsev condition fails in the variety of sets, 
> hence is nontrivial."
>
> Is this the sentence you mean?
>
>

From ralph@math.hawaii.edu  Wed Oct 29 22:32:11 2008
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Hi Keith,

Is the last sentence in the proof of Lemma 3.11 missing the word "fails"?

   Ralph

From Keith.Kearnes@Colorado.EDU  Thu Oct 30 11:40:44 2008
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Thanks for checking!


On Thu, 30 Oct 2008, Ralph Freese wrote:

>
> Yes. My old version reads exactly the same but without "fails". I should have 
> checked the online version.
>
>
> On Thu, 30 Oct 2008, Keith A. Kearnes wrote:
>
>>> Is the last sentence in the proof of Lemma 3.11 missing the word "fails"?
>> 
>> The proof in the Fall 2006 version (online version) has this as the last 
>> sentence:
>> 
>> "Since every tolerance on every member of the variety of sets is strongly 
>> abelian, this idempotent Maltsev condition fails in the variety of sets, 
>> hence is nontrivial."
>> 
>> Is this the sentence you mean?
>> 
>> 
>

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From ewkiss@cs.elte.hu  Wed Mar 11 09:48:24 2009
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To: kearnes@euclid.colorado.edu, Keith.Kearnes@Colorado.EDU
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Keith:

Matt wrote this. I did not have time to check.  I hope to
have time to write to you about the tournament paper next
weekend.

Emil

----- Forwarded message from Matt Valeriote <matt@math.mcmaster.ca> -----

While looking over your manuscript, I noticed a very minor error.  I'm 
not sure what the status of the book is, and in particular whether it 
has gone off to print and so it may be too late to make any further 
changes.  On page 185 (I'm using the version that is available for 
download on keith's webpage), first sentence (of Chapter 9), the 
definition of res. large should refer to a proper class of si's, up to 
isomorphism, since for any variety V, if S is an si in V, then the 
collection of all algebras in V iso to S is a proper class of si's.

Matt

----- End forwarded message -----

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Date: Wed, 16 Sep 2009 08:57:54 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Steffen Lempp <lempp@math.wisc.edu>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>,
        Emil Kiss <ewkiss@cs.elte.hu>
Subject: Re: referee's report for MAMS (fwd)
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> Since it has been a year since we communicated about this paper, I just want 
> to make sure that you still consider this submission "active".

Dear Steffen and Emil-

Sorry about the delay. Steffen, thanks for keeping the file active.
I'll try to wrap this up quickly.

Best regards,
Keith

---
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

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Date: Tue, 15 Sep 2009 00:32:47 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
cc: Emil Kiss <ewkiss@cs.elte.hu>, Keith Kearnes <kearnes@euclid.colorado.edu>
Subject: Re: referee's report for MAMS (fwd)
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--1553003686-173098391-1252992767=:7755
Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed

Dear Keith,
Since it has been a year since we communicated about this paper, I just want 
to make sure that you still consider this submission "active".
Of course, I myself do not have a problem with a delay; the referee may, 
however, take a bit longer when he/she has to review your revised version if 
too much time passes.
Best wishes,					Steffen

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

---------- Forwarded message ----------
Date: Sun, 22 Jun 2008 21:10:24 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: Keith A. Kearnes <Keith.Kearnes@Colorado.EDU>
Cc: Emil Kiss <ewkiss@cs.elte.hu>, Keith Kearnes <kearnes@euclid.colorado.edu>
Subject: Re: referee's report for MAMS

Dear Keith,
There is no rush for me myself. The referee would probably appreciate seeing 
the revised version before he/she has forgotten too much (or is caught up in 
the fall/winter semester rush again).
Best,					Steffen

On Sun, 22 Jun 2008, Keith A. Kearnes wrote:

> 
> Thanks for your efforts, Steffen. We look forward to reading the report.
> 
> I am traveling in Eorupe now, and will be in Japan next month. I have a 
> laptop with me, but the display is on the fritz. I may not be able to 
> implement the changes until August. I hope that is OK.
> 
> Yours,
> Keith
> 
> 
> On Fri, 20 Jun 2008, Steffen Lempp wrote:
> 
>> Dear Profs. Kearnes and Kiss,
>> Enclosed please find a very positive and very detailed report on your 
>> manuscript for the Memoirs; in three parts, a short and very encouraging 
>> report, a marked-up copy of your manuscript, and a summary of the mark-ups.
>> (It's by far the fanciest report I've ever received in my more than 10 years 
>> as JSL and then TAMS/MAMS editor!)
>> I'm looking forward to receiving a revised copy from you and will pass that 
>> by the referee one more time then.
>> Best,						Steffen Lempp
>> 
>> ********************************************************************************
>> 
>> Office address: Prof. Steffen Lempp
>> 		Department of Mathematics
>> 		University of Wisconsin
>> 		480 Lincoln Drive
>> 		Madison, WI 53706-1388   USA
>> Office phone:   (608) 263-1975
>> Office fax:     (608) 263-8891
>> WWW home page:  http://www.math.wisc.edu/~lempp
>> 
>> ********************************************************************************
> 
> -- 
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
> 
>

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************
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--1553003686-173098391-1252992767=:7755--

From Keith.Kearnes@Colorado.EDU  Sun Oct 18 20:06:16 2009
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Date: Sun, 18 Oct 2009 20:06:14 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Matt Valeriote <matt@math.mcmaster.ca>
cc: Emil Kiss <ewkiss@cs.elte.hu>,
        "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
Subject: Re: your book
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> I am writing a paper that references a couple of theorems from your new book. 
> I'd like to know if the theorem/definition numberings found in the online 
> version (1.00) available on Keith's website will change in the published 
> version.    If so, is a version with stable numberings available?

It's pretty stable. I think there is a new result at the end of Chapter 5, 
but that only adds numbers to the end of that chapter and doesn't alter 
the numbering elsewhere.

Best regards,
Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From lempp@math.wisc.edu  Wed Sep 16 14:34:54 2009
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Date: Wed, 16 Sep 2009 15:34:43 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
cc: Emil Kiss <ewkiss@cs.elte.hu>
Subject: Re: referee's report for MAMS (fwd)
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Like I said, there is not terrible rush, I just don't want this forgotten...
Best,					Steffen

On Wed, 16 Sep 2009, Keith A. Kearnes wrote:

>> Since it has been a year since we communicated about this paper, I just 
>> want to make sure that you still consider this submission "active".
>
> Dear Steffen and Emil-
>
> Sorry about the delay. Steffen, thanks for keeping the file active.
> I'll try to wrap this up quickly.
>
> Best regards,
> Keith
>
> ---
> Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
> Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
> University of Colorado     Direct Phone: (303) 492-5203
> 395 UCB                    Dept Phone: (303) 492-3613
> Boulder, CO 80309-0395     Fax: (303) 492-7707
>
>

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From lempp@math.wisc.edu  Wed Jun  8 13:30:30 2011
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Date: Wed, 8 Jun 2011 14:30:29 -0500 (CDT)
From: Steffen Lempp <lempp@math.wisc.edu>
To: kearnes@euclid.colorado.edu, ewkiss@cs.elte.hu
Subject: your MAMS submission
Message-ID: <alpine.DEB.1.10.1106081429060.6886@gauss.math.wisc.edu>
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Dear All,
My term as TAMS and MAMS editor will end on January 31, 2012, and I'm hoping 
to tie up most loose ends by then.
I'm wondering about whether you are planning to submit a revised version soon.
Best,					Steffen

********************************************************************************

Office address: Prof. Steffen Lempp
 		Department of Mathematics
 		University of Wisconsin
 		480 Lincoln Drive
 		Madison, WI 53706-1388   USA
Office phone:   (608) 263-1975
Office fax:     (608) 263-8891
WWW home page:  http://www.math.wisc.edu/~lempp

********************************************************************************

From Keith.Kearnes@Colorado.EDU  Tue Jun 14 07:02:07 2011
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Date: Tue, 14 Jun 2011 07:02:06 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Steffen Lempp <lempp@math.wisc.edu>
cc: Emil Kiss <ewkiss@cs.elte.hu>, Keith Kearnes <kearnes@euclid.colorado.edu>
Subject: Re: your MAMS submission
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Dear Steffen-

Thank you for your patience. We do intend to submit a revised version. I 
will communicate with my coauthor, and we will get back to you as soon as 
we can.

Best,
Keith

On Wed, 8 Jun 2011, Steffen Lempp wrote:

> Dear All,
> My term as TAMS and MAMS editor will end on January 31, 2012, and I'm hoping 
> to tie up most loose ends by then.
> I'm wondering about whether you are planning to submit a revised version 
> soon.
> Best,					Steffen
>
> ********************************************************************************
>
> Office address: Prof. Steffen Lempp
> 		Department of Mathematics
> 		University of Wisconsin
> 		480 Lincoln Drive
> 		Madison, WI 53706-1388   USA
> Office phone:   (608) 263-1975
> Office fax:     (608) 263-8891
> WWW home page:  http://www.math.wisc.edu/~lempp
>
> ********************************************************************************
>

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

From ewwkiss@gmail.com  Tue Jun 14 08:00:30 2011
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From: Emil Kiss <ewwkiss@gmail.com>
Date: Tue, 14 Jun 2011 15:59:51 +0200
Message-ID: <BANLkTikY_K0zoTbgWWLMVy1k72t-rzhMRA@mail.gmail.com>
Subject: Re: your MAMS submission
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Keith,

How can I help?

Emil

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Keith,<div><br></div><div>How can I help?</div><div><br></div><div>Emil</div><div><br></div><div><br>
</div>

--bcaec54863407f838204a5ac756f--

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Date: Tue, 14 Jun 2011 08:10:40 -0600 (MDT)
From: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
To: Emil Kiss <ewwkiss@gmail.com>
cc: "Keith A. Kearnes" <Keith.Kearnes@Colorado.EDU>
Subject: Re: your MAMS submission
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Emil-

Let me review the report and ms, and then get back to you.
I hope that all you will have to do is approve a version for resubmission.
However, I may ask you to write the proof of that theorem you proved
(about semilattices) in a form that can be included.

Keith

-- 
Keith A. Kearnes           Email: kearnes@euclid.colorado.edu
Department of Mathematics  WWW: http://spot.colorado.edu/~kearnes
University of Colorado     Direct Phone: (303) 492-5203
395 UCB                    Dept Phone: (303) 492-3613
Boulder, CO 80309-0395     Fax: (303) 492-7707

