Homological Questions in Local Algebra Contributor(s): Strooker, Jan R. (Author) |
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ISBN: 0511629249 ISBN-13: 9780511629242 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: August 2010 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - General |
Dewey: 512 |
Series: London Mathematical Society Lecture Note |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |