Homological Questions in Local Algebra

Homological Questions in Local Algebra

eBook - 1990
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Cambridge Univ Pr
This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum.
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.

Publisher: Cambridge ; New York : Cambridge University Press, 1990
ISBN: 9781107361287
1107361281
0521315263
9780521315265
9780511629242
Characteristics: 1 online resource (xiii, 308 pages) : illustrations

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