5 citations · 5 across the 9 of their papers we have counts for
10 papers
Some characterizations of strongly irreducible submodules in arithmetical and Noetherian modules
Reza Naghipour, Monireh Sedghi
The purpose of the present paper is to prove some properties of the strongly irreducible submodules in the arithmetical and Noetherian modules over a commutative ring. The relation…
Some results on the annihilators and attached primes of local cohomology modules
Ali Atazadeh, Monireh Sedghi, Reza Naghipour
Let be a local ring and a finitely generated -module. It is shown that if is relative Cohen-Macaulay with respect to an ideal of , then $\tex…
Modules cofinite and weakly cofinite with respect to an ideal
Kamal Bahmanpour, Reza Naghipour, Monireh Sedghi
The purpose of the present paper is to continue the study of modules cofinite and weakly cofinite with respect to an ideal of a Noetherian ring . It is shown that an $…
On the finiteness properties of local cohomology modules for regular local rings
Monireh Sedghi, Kamal Bahmanpour, Reza Naghipour
Let denote an ideal in a regular local (Noetherian) ring and let be a finitely generated -module with support in . The purpose of this paper is to…
Locally unmixed modules and linearly equivalent topologies
Mona Bahadorian, Monireh Sedghi, Reza Naghipour
Let be a commutative Noetherian ring, and let be a non-zero finitely generated -module. The purpose of this paper is to show that is locally unmixed if and only if,…
Cohomological dimension filtration and annihilators of top local cohomology modules
Ali Atazadeh, Monireh Sedghi, Reza Naghipour
Let denote an ideal in a commutative Noetherian ring and a finitely generated -module. In this paper, we introduce the concept of the cohomological dimension f…
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…
On the finiteness of Bass numbers of local cohomology modules and Cominimaxness
Kamal Bahmanpour, Reza Naghipour, Monireh Sedghi
In this paper, we continue the study of cominimaxness modules with respect to an ideal of a commutative Noetherian ring (cf. \cite{ANV}), and Bass numbers of local cohomology modul…
Cofiniteness of local cohomology modules for ideals of dimension one
Kamal Bahmanpour, Reza Naghipour, Monireh Sedghi
Let denote a commutative Noetherian (not necessarily local) ring, an arbitrary -module and an ideal of of dimension one. It is shown that the -module $\Ext^i_…
Ratliff-Rush closures and linear growth of primary decompositions of ideals
Monireh Sedghi
Let be a commutative Noetherian ring, a non-zero finitely generated -module and an ideal of . One purpose of this paper is to show that the sequences $\Ass_RE/ \w…