Cofiniteness and finiteness of local cohomology modules over regular local rings

Title:

Cofiniteness and finiteness of local cohomology modules over regular local rings

Creator:

A'zami, Jafar and Pourreza, Naser

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:632d68f8-1fee-49e2-9b8c-442e15b1bf57
uuid:632d68f8-1fee-49e2-9b8c-442e15b1bf57
issn:0011-4642

Subject:

matematika, mathematics, regular ring, cofinite module, Cohen-Macaulay ring, Krull dimension, local cohomology, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let $(R,\mathfrak m)$ be a commutative Noetherian regular local ring of dimension $d$ and $I$ be a proper ideal of $R$ such that ${\rm mAss}_R(R/I)={\rm Assh}_R(I)$. It is shown that the $R$-module $H^{{\rm ht}(I)}_I(R)$ is $I$-cofinite if and only if ${\rm cd}(I,R)={\rm ht}(I)$. Also we present a sufficient condition under which this condition the $R$-module $H^i_I(R)$ is finitely generated if and only if it vanishes., Jafar A'zami, Naser Pourreza., and Obsahuje bibliografické odkazy

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

733-740

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:3

Harvested from:

CDK

Metadata only:

false