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Homological Questions in Local Algebra : London Mathematical Society Lecture Note Series - Jan R. Strooker

Homological Questions in Local Algebra

London Mathematical Society Lecture Note Series

Paperback Published: 5th November 1990
ISBN: 9780521315265
Number Of Pages: 324

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This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.

Homological preliminaries
Adic topologies and completions
Injective envelopes and minimal injective resolutions
Local cohomology and koszul complexes
(Pre-) Regular sequences and depth
Exactness of complexes and linear equations over rings
Comparing homological invariants
Dimensions
Cohen-Macauley modules and regular rings
Gorenstein rings, local duality, and the direct summand conjecture
Frobenius and big Cohen-Macauley modules
Big Cohen-Macaulay modules in equal charecteristic 0
Uses of big Cohen-Maculay Modules
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521315265
ISBN-10: 0521315263
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 324
Published: 5th November 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.8
Weight (kg): 0.48

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