Topics in the Homological Theory of Modules Over Commutative Rings, Issue 24

Front Cover
American Mathematical Soc., Dec 31, 1975 - Mathematics - 75 pages
1 Review
This volume contains expository lectures by Melvin Hochster from the CBMS Regional Conference in Mathematics held at the University of Nebraska, June 1974. The lectures deal mainly with recent developments and still open questions in the homological theory of modules over commutative (usually, Noetherian) rings. A good deal of attention is given to the role ``big'' Cohen-Macaulay modules play in clearing up some of the open questions. A modest knowledge of commutative rings and familarity with (the long exact sequences for) Tor and Ext should suffice as a background for the reader.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Preliminaries
3
Some Open Questions
8
Consequences of the Existence of CohenMacaulay Modules
15
Modifications and the Existence of Big CohenMacaulay Modules in Characteristic p 0
20
Henselian Rings M Artins Approximation Theorem and Big CohenMacaulay Modules over Fields of Characteristic 0
27
DepthSensilivity Theorems and Exactness Criteria
34
Modules of Projective Dimension 2 Generic Modules of Finite Projective Dimension and the BuchsbaumEisenbud Structure Theorems
44
Linear Algebraic Groups
52
Applications of Homological Methods and Some More Open Questions
61
Supplement
70
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information