Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series) [Paperback]

Jan R. Strooker (Author)

Book Description

Publication Date: September 28, 1990 | ISBN-10: 0521315263 | ISBN-13: 978-0521315265

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.

Editorial Reviews

Book 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.

Product Details

• Paperback: 324 pages
• Publisher: Cambridge University Press (September 28, 1990)
• Language: English
• ISBN-10: 0521315263
• ISBN-13: 978-0521315265
• Product Dimensions: 9 x 6 x 0.9 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #918,533 in Books (See Top 100 in Books)

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