Homological Questions in Local Algebra / Jan R. Strooker.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 145Publisher: Cambridge : Cambridge University Press, 1990Description: 1 online resource (324 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511629242 (ebook)Subject(s): Commutative algebra | Homology theoryAdditional physical formats: Print version: : No titleDDC classification: 512/.24 LOC classification: QA251.3 | .S76 1990Online resources: Click here to access online Summary: 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK12060 |
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.
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