Homological Questions in Local Algebra
By (author) J.R. Strooker
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Homological Questions in Local Algebra by J.R. Strooker
Book DescriptionThis 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.
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Book DetailsISBN: 9780521315265
(228mm x 152mm x 18mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 6-Sep-1990
Country of Publication: United Kingdom
Books By Author J.R. Strooker
Introduction to Categories, Homological Algebra and Sheaf Cohomology, Paperback (January 2009)» View all books by J.R. Strooker
Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical fields.
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