Comparison of relative cohomology theories with respect to semidualizing modules

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dc.creatorSather-Wagstaff, Sean
dc.creatorSharif, Tirdad
dc.creatorWhite, Diana
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:12:14Z
dc.date.available2026-07-07T08:12:14Z
dc.descriptionWe compare and contrast various relative cohomology theories that arise from resolutions involving semidualizing modules. We prove a general balance result for relative cohomology over a Cohen-Macaulay ring with a dualizing module, and we demonstrate the failure of the naive version of balance one might expect for these functors. We prove that the natural comparison morphisms between relative cohomology modules are isomorphisms in several cases, and we provide a Yoneda-type description of the first relative Ext functor. Finally, we show by example that each distinct relative cohomology construction does in fact result in a different functor.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0706.3635
dc.identifierhttp://arxiv.org/abs/0706.3635
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132382
dc.subjectCommutative Algebra
dc.subject13D02, 13D05, 13D07
dc.titleComparison of relative cohomology theories with respect to semidualizing modules
dc.typetext

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