Math 531, Introduction to Commutative Algebra

Instructor: Mihnea Popa

Mihnea Popa
Office: 417 SEO
Tel: 312-413-3150
  • 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 :