Local cohomology: Associated primes, artinianness and asymptotic behaviour

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dc.creatorAghapournahr, Moharram
dc.creatorMelkersson, Leif
dc.date2008-07-18
dc.date2008-07-21
dc.date.accessioned2026-07-07T09:51:34Z
dc.date.available2026-07-07T09:51:34Z
dc.descriptionLet $R$ be a noetherian ring, $\fa$ an ideal of $R$, $M$ an $R$--module and $n$ a non-negative integer. In this paper we first will study the finiteness properties of the kernel and the cokernel of the natural map $f:\Ext^n_{R}(R/\fa,M)\lo \Hom_{R}(R/\fa,\lc^{n}_{\fa}(M))$. Then we will get some corollaries about the associated primes and artinianness of local cohomology modules. Finally we will study the asymptotic behaviour of the kernel and the cokernel of this natural map in the graded case.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0807.2967
dc.identifierhttp://arxiv.org/abs/0807.2967
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165292
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D45, 13D07
dc.titleLocal cohomology: Associated primes, artinianness and asymptotic behaviour
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