Álgebra Conmutativa Fall 2019

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Álgebra Conmutativa Fall 2019

Lecture notes


Homework #4, due 14 Noviembre
Homework #3
Homework #2
Homework #1

Time and place:

Martes y jueves, 9:30–10:50 AM, D707

Academic calendar

Course information:

The course is an introduction to commutative algebra, a subject that has interactions with algebraic geometry, number theory, combinatorics, and several complex variables. The emphasis will be on Noetherian rings. Topics will include the Noetherian property, integral extensions, Hilbert's Nullstellensatz, Noether normalization, localization, chains of prime ideals, Krull dimension, Artinian rings, normal Noetherian rings, flatness, primary decomposition, symbolic powers, regular rings, depth, Rees rings and the Artin-Rees Lemma, the Krull height theorem, and completion of local rings.

Recommended texts:

Mel Hochster's Math 614 lecture notes (2017)
Introduction to Commutative Algebra by Atiyah and Macdonald (not my scan)
Commutative algebra with a view towards algebraic geometry by Eisenbud (not my scan)