TY - BOOK AU - Strooker,Jan R. TI - Homological questions in local algebra T2 - London Mathematical Society lecture note series SN - 9780511629242 (ebook) AV - QA251.3 .S76 1990 U1 - 512/.24 20 PY - 1990/// CY - Cambridge PB - Cambridge University Press KW - Commutative algebra KW - Homology theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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. UR - https://doi.org/10.1017/CBO9780511629242 ER -