Strooker, Jan R.,
Homological Questions in Local Algebra / Jan R. Strooker. - Cambridge : Cambridge University Press, 1990. - 1 online resource (324 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 145 . - London Mathematical Society Lecture Note Series ; no. 145. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9780511629242 (ebook)
Commutative algebra
Homology theory
QA251.3 / .S76 1990
512/.24
Homological Questions in Local Algebra / Jan R. Strooker. - Cambridge : Cambridge University Press, 1990. - 1 online resource (324 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 145 . - London Mathematical Society Lecture Note Series ; no. 145. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9780511629242 (ebook)
Commutative algebra
Homology theory
QA251.3 / .S76 1990
512/.24