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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…