Tate cohomology over fairly general rings

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dc.creatorJorgensen, Peter
dc.date2004-02-11
dc.date.accessioned2026-07-07T05:05:21Z
dc.date.available2026-07-07T05:05:21Z
dc.descriptionTate cohomology was originally defined over finite groups. More recently, Avramov and Martsinkovsky showed how to extend the definition so that it now works well over Gorenstein rings. This paper improves the theory further by giving a new definition that works over more general rings, specifically, those with a dualizing complex. The new definition of Tate cohomology retains the desirable properties established by Avramov and Martsinkovsky. Notably, there is a long exact sequence connecting it to ordinary Ext groups.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0402176
dc.identifierhttp://arxiv.org/abs/math/0402176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70133
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subject13D02, 16E05, 18G25, 20J06
dc.titleTate cohomology over fairly general rings
dc.typetext

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