Cofiniteness of generalized local cohomology modules

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dc.creatorDivaani-Aazar, Kamran
dc.creatorSazeedeh, Reza
dc.date2004-08-12
dc.date.accessioned2026-07-07T05:11:14Z
dc.date.available2026-07-07T05:11:14Z
dc.descriptionLet $\fa$ denote an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$-modules with $\pd M< \infty$. It is shown that if $\fa$ is principal or $R$ is complete local and $\fa$ a prime ideal with $\dim R/\fa=1$, then the generalized local cohomology module $H^i_{\fa}(M,N)$ is $\fa$-cofinite for all $i \geq 0$. This provides an affirmative answer for the above ideal $\fa$ to a question proposed in [{\bf 13}].
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0408163
dc.identifierhttp://arxiv.org/abs/math/0408163
dc.identifierColloq. Math. 99 (2004), 283-290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72172
dc.subjectCommutative Algebra
dc.subject13D45, 14B15
dc.titleCofiniteness of generalized local cohomology modules
dc.typetext

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