Noetherian Girl

Parody of "Material Girl", by Richard Green, 1995.

Some rings have one, some rings don't, but that's all right by me.
The only rings that interest me are those with ACC.
Quotients are of prime importance in my kind of rings.
Though uniform is not essential, it enlivens things.

And that's cos we are living in a Noetherian world,
And I am a Noetherian girl.
You know that we are living in a Noetherian world,
And I am a Noetherian girl.

Modules with the max condition mean a lot to me,
Provided that they're faithful, not nilpotent, and they're free.
I regularly write them so the ring acts on the right (that's right):
It makes them more appealing in embeddings late at night.  

Of course, they will be living in a Noetherian world,
And I am a Noetherian girl.
You know that we are living in a Noetherian world,
And I am a Noetherian girl.

Living in a Noetherian world ('therian)
Living in a Noetherian world
[repeat]

Although I like to play the field to find variety,
It's only rings with nice ideals that make my PhD.

Cos everybody's living in a Noetherian world,
And I am a Noetherian girl.
You know that we are living in a Noetherian world,
And I am a Noetherian girl.

A Noetherian, a Noetherian, a Noetherian, a Noetherian world.

Living in a Noetherian world ('therian)
Living in a Noetherian world
[repeat]