Gorenstein algebras and Hochschild cohomology

dc.creatorAvramov, L. L.
dc.creatorIyengar, S.
dc.date2007-04-27
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:08:33Z
dc.date.available2026-07-07T13:08:33Z
dc.descriptionFor homomorphism K-->S of commutative rings, where K is Gorenstein and S is essentially of finite type and flat as a K-module, the property that all non-trivial fiber rings of K-->S are Gorenstein is characterized in terms of properties of the cohomology modules Ext_n^{S\otimes_KS}S{S\otimes_KS}.
dc.descriptionThis is the published version, except for updates to references and bibliography. Sections 3, 4 and 8 have been removed from the preceding version, arXiv:0704.3761v2. Substantial generalizations of results in those sections are proved in our paper with Joseph Lipman and Suresh Nayak, arXiv:0904.4004
dc.identifierhttps://arxiv.org/abs/0704.3761
dc.identifierhttp://arxiv.org/abs/0704.3761
dc.identifierMich. Math. J. 57 (2008), 17--35
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228454
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13D03, 14B25 (Primary) 14M05, 16E40 (Secondary)
dc.titleGorenstein algebras and Hochschild cohomology
dc.typetext

Files

Collections