Mathematics
6150

Commutative Algebra

Commutative Algebra

Course Description |
Introduces topics used in number
theory and algebraic geometry, including radicals of
ideals, exact sequences of modules, tensor products,
Ext, Tor, localization, primary decomposition of
ideals, and Noetherian rings. Prereq., MATH 6140.
Undergraduates must have approval of the instructor. |

Schedule | MWF 9 - 10 AM, ECCR
110 (University of Colorado Academic Calendar) |

Professor |
Sebastian
Casalaina-Martin Mathematics 221 casa@math.colorado.edu |

Office Hours |
T 9 AM - 12 PM or by
appointment. |

Textbooks |
We
will work primarily from: 1. Atiyah, M. F. and MacDonald, I. G. Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969 ix+128 pp. 2. Altman, A. and Kleiman, S.
Introduction to Grothendieck duality theory. Lecture
Notes in Mathematics, Vol. 146 Springer-Verlag,
Berlin-New York 1970 ii+185 pp. Some other introductory books on the subject: 3. Matsumura, H. Commutative ring theory. Translated from the Japanese by M. Reid. Second edition. Cambridge Studies in Advanced Mathematics, 8. Cambridge University Press, Cambridge, 1989. xiv+320 pp 4. Eisenbud, D. Commutative algebra. With a view toward algebraic geometry. Graduate Texts in Mathematics, 150. Springer-Verlag, New York, 1995. xvi+785 pp. 5. Bourbaki, N. Commutative algebra. Chapters 1–7. Translated from the French. Reprint of the 1989 English translation. Elements of Mathematics (Berlin). Springer-Verlag, Berlin, 1998. xxiv+625 pp. |

Homework |
There will be homework assignments posted
online. |

Syllabus |
This syllabus is a rough
guide to the topics we will cover. |

Policies |
Please read the following class policies. |