12 citations · 25 across the 13 of their papers we have counts for
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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_…