Homological Questions in Local Algebra

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Homological Questions in Local Algebra

Homological Questions in Local Algebra

Name: Homological Questions in Local Algebra
ISBN: 9780521315265

Jan R. Strooker

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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.

Kategori:

Mathematics - Algebra

Tahun:

1990

Penerbit:

Cambridge University Press

Bahasa:

english

Halaman:

322

ISBN 10:

0521315263