Math 531, Introduction to Commutative Algebra

Instructor: Mihnea Popa

Mihnea Popa
Office: 417 SEO
Tel: 312-413-3150
email: mpopa@math.uic.edu
URL: www.math.uic.edu/~mpopa

Meeting times: MWF 12:00-12:50, 302 AH
First meeting: Monday, August 25, 2008
Office hours: Monday 2:30-4:30 or by appointment
Recommended books: M. Atiyah and I. G. MacDonald, "Introduction to Commutative Algebra"; D. Eisenbud, "Commutative Algebra with a view toward Algebraic Geometry"; H. Matsumura, "Commutative Ring Theory".

Brief course description: Primary decomposition and associated primes. Integral extensions, going up and going down theorems. Noether normalization. Dimension theory. Depth, regular sequences, Cohen-Macaulay rings. Homological methods. Regular local rings. Auslander-Buchsbaum theorem.

Homework :

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Problem Set 7

Problem Set 8

Problem Set 9

Problem Set 10