Ali Atazadeh

collaborators

3 papers

math.AC2017

Some results on the annihilators and attached primes of local cohomology modules

Ali Atazadeh, Monireh Sedghi, Reza Naghipour

Let $(R, m)$ be a local ring and $M$ a finitely generated $R$ -module. It is shown that if $M$ is relative Cohen-Macaulay with respect to an ideal $a$ of $R$ , then $\tex…

math.AC2013

Cohomological dimension filtration and annihilators of top local cohomology modules

Ali Atazadeh, Monireh Sedghi, Reza Naghipour

Let $a$ denote an ideal in a commutative Noetherian ring $R$ and $M$ a finitely generated $R$ -module. In this paper, we introduce the concept of the cohomological dimension f…

math.AC2013

On the annihilators and attached primes of top local cohomology modules

Ali Atazadeh, Monireh Sedghi, Reza Naghipour

Let \frak a be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. It is shown that {\rm Ann}_R(H_{\frak a}^{{\dim M}({\frak a}, M)}(M))= {\rm Ann}_R(M…