Finiteness of extension functors of local cohomology modules

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dc.creatorDibaei, Mohammad T.
dc.creatorYassemi, Siamak
dc.date2005-09-15
dc.date.accessioned2026-07-07T05:23:13Z
dc.date.available2026-07-07T05:23:13Z
dc.descriptionLet $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $M$ a finitely generated $R$--module. Let $t$ be a non-negative integer such that $\H^i_\fa(M)$ is $\fa$--cofinite for all $i<t$. It is well--known that $\Hom_R(R/\fa,\H^t_\fa(M))$ is finitely generated $R$--module. In this paper we study the finiteness of $\Ext^1_R(R/\fa,\H^t_\fa(M))$ and $\Ext^2_R(R/\fa,\H^t_\fa(M))$.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0509340
dc.identifierhttp://arxiv.org/abs/math/0509340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76351
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D45; 14B15
dc.titleFiniteness of extension functors of local cohomology modules
dc.typetext

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