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Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series, Series Number 145),Used
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This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and AuslanderBuchsbaum. The approach is via Hochster's 'Big CohenMacaulay modules', though the complementary view point of PeskineSzpiro 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. Nonexperts may therefore find it an appealing guide into an active area of algebra.
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