12 citations · 18 across the 6 of their papers we have counts for
7 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…