TU Kaiserslautern • Department of Mathematics • Winter Term 2014/5
«Cohen-Macaulay and Gorenstein Rings»
Instructor:
Mathias Schulze
Assistant:
Xia Liao
Lecture:
Tue./Thu. 8:15-9:45am, room 48-438
Tutorial:
Fri. 8:15-9:45am, room 48-436
Prerequisites
Commutative Algebra
Topics
- regular sequences, depth, projective dimension
- reflexive modules
- Fitting ideals
- Cohen-Macaulay rings and modules
- regular and normal rings
- complete intersections
- canonical modules and Gorenstein rings
- local duality
- algorithmic aspects
Literature
- W. Bruns, J. Herzog: Cohen-Macaulay Rings, 2nd ed., Cambridge Studies in Adv. Math. 39, 2008.
- H. Mastumura: Commutative Ring Theory, Cambridge University Press, 1986.