12 citations · 25 across the 13 of their papers we have counts for
15 papers
A note on Abelian categories of cofinite modules
Kamal, Bahmanpour
Let be a commutative Noetherian ring and be an ideal of . In this article we answer affirmatively a question raised by the present author in \cite{B2}. Also, as an immed…
Cofiniteness over Noetherian complete local rings
Kamal, Bahmanpour
In this paper we prove the following generalization of a result of Hartshorne: Let $(S,\n)$ be a regular local ring of dimension . Assume that is a regular system of p…
A study of cofiniteness through minimal associated primes
Kamal, Bahmanpour
In this paper we shall investigate the concepts of cofiniteness of local cohomology modules and Abelian categories of cofinite modules over arbitrary Noetherian rings. Then we shal…
Some homological properties of ideals with cohomological dimension one
G. Pirmohammadi, K. Ahmadi Amoli, K. Bahmanpour
Let R denote a commutative Noetherian ring and let I be an ideal of R such that H_i^I(R) = 0, for all integers i greater than or equal to 2. In this paper we shall prove some resul…
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…
Faltings' finiteness dimension of local cohomology modules over local Cohen-Macaulay rings
Kamal Bahmanpour, Reza Naghipour
Let denote a local Cohen-Macaulay ring and a non-nilpotent ideal of . The purpose of this article is to investigate Faltings' finiteness dimension an…
Weakly Laskerian rings versus Noetherian rings
Kamal Bahmanpour, Kamran Divaani-Aazar
Let R be a commutative ring with identity. We investigate some ring-theoretic properties of weakly Laskerian R-modules. Our results indicate that weakly Laskerian rings behave as N…
Localization at countably infinitely many prime ideals and applications
Kamal Bahmanpour, Pham Hung Quy
In this paper we present a technical lemma about localization at countable infinitely many prime ideals. We apply this lemma to get many results about the finiteness of associated…
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…
A new characterization of Cohen-Macaulay rings
Kamal Bahmanpour, Reza Naghipour
The purpose of this article is to provide a new characterization of Cohen-Macaulay local rings. As a consequence we deduce that a local (Noetherian) ring is Gorenstein if and o…
Socle finiteness of local cohomology modules and Gorenstein ideals
Ali Akbar Mehrvarz, Kamal Bahmanpour, Reza Naghipour
The purpose of this paper is to give some equivalent conditions to the socle and Bass numbers' conjectures which raised by C. Huneke in (Problems on local cohomology, Free resoluti…
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_…
Cofiniteness of weakly Laskerian local cohomology modules
Moharram Aghapournahr, Kamal Bahmanpour
Let be an ideal of a Noetherian ring R and M be a finitely generated R-module. We introduce the class of extension modules of finitely generated modules by the class of all mod…
On the equivalence of fsf and weakly Laskerian classes
K. Bahmanpour, A. Khojali
It is proved that, over a Noetherian ring R, the class of weakly Laskerian and FSF modules are the same classes. By using this characterization we proved that the property of being…