#### Assignments:

Homework #4, due 14 Noviembre

Homework #3
Homework #2
Homework #1
#### Time and place:

Martes y jueves, 9:30–10:50 AM, D707

#### 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)