Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series, Series Number 145) (Volume 0)

Strooker, Jan R.

ISBN 10: 0521315263 / ISBN 13: 9780521315265

Published by Cambridge University Press, 1990

About this Item

Seller Inventory # I-9780521315265

Bibliographic Details

• Title: Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series, Series Number 145) (Volume 0)
• Publisher: Cambridge University Press
• Publication Date: 1990
• Language: English
• ISBN 10: 0521315263
• ISBN 13: 9780521315265
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

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.