Attached primes of the top local cohomology modules with respect to an ideal (II)

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dc.creatorDibaei, Mohammad T.
dc.creatorYassemi, Siamak
dc.date2005-01-05
dc.date.accessioned2026-07-07T05:15:50Z
dc.date.available2026-07-07T05:15:50Z
dc.descriptionFor a finitely generated module $M$, over a commutative Noetherian local ring $(R, \mathfrak{m})$, it is shown that there exist only a finite number of non--isomorphic top local cohomology modules $\mathrm{H}_{\mathfrak{a}}^{\mathrm{dim} (M)}(M)$, for all ideals $\mathfrak{a}$ of $R$. We present a reduced secondary representation for the top local cohomology modules with respect to an ideal. It is also shown that for a given integer $r\geq 0$, if $\mathrm{H}_{\mathfrak{a}}^{r}(R/\mathfrak {p})$ is zero for all $\mathfrak{p}$ in $\mathrm{Supp}(M)$, then $\mathrm{H}_{\mathfrak{a}}^{i}(M)= 0$ for all $i\geq r$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0501063
dc.identifierhttp://arxiv.org/abs/math/0501063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73768
dc.subjectCommutative Algebra
dc.subject13D45; 13D25
dc.titleAttached primes of the top local cohomology modules with respect to an ideal (II)
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