5 citations · 7 across the 24 of their papers we have counts for
25 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…
Symbolic powers and generalized-parametric decomposition of monomial ideals on regular sequences
Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour
Let be a commutative Noetherian ring and let be a regular -sequence contained in the Jacobson radical of . An ideal of is said to be a…
Faltings' local-global principle for the in dimension of local cohomology modules
Reza Naghipour, Robabeh Maddahali, Khadijeh Ahmadi Amoli
The concept of Faltings' local-global principle for the in dimension of local cohomology modules over a Noetherian ring is introduced, and it is shown that this principle…
Asymptotic behaviour of integral closures, quintasymptotic primes and ideal topologies
Reza Naghipour, Peter Schenzel
Let be a commutative Noetherian ring, a finitely generated -module and an ideal of . The set , the quintasymptotic primes of with respect to…
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,…
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…
A Characterization of locally quasi-unmixed rings
Simin Mollamahmoudi, Adeleh Azari, Reza Naghipour
Let denote the integral closure of an ideal in a Noetherian ring . The main result of this paper asserts that is locally quasi-unmixed if and only if, the topologi…
Note on linearly equivalent ideal topologies over Noetherian modules
Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour
Let be a commutative Noetherian ring, and let be a non-zero finitely generated -module. In this paper, the main result asserts that for any -proper ideal of…
Symbolic powers of ideals and their topology over a module
Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour
Let denote an ideal of a Noetherian ring and a non-zero finitely generated -module. In the present paper, some necessary and sufficient conditions are given to deter…
Faltings' local-global principle for the finiteness of local cohomology modules over Noetherian rings
Ali Akbar Mehrvarz, Reza Naghipour, Monireh Sedghi
Let denote a commutative Noetherian (not necessarily local) ring, an ideal of and a finitely generated -module. The purpose of this paper is to show that $…
A new proof of Faltings' local-global principle for the finiteness of local cohomology modules
Davood Asadollahi, Reza Naghipour
Let denote a commutative Noetherian ring. Brodmann et al. defined and studied the concept of the local-global principle for annihilation of local cohomology modules at level $r…
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…
A note on the quintasymptotic prime ideals
Saeed Jahandoust, Reza Naghipour
Let denote a commutative Noetherian ring, an ideal of , and let be a multiplicatively closed subset of . In \cite{Ra1}, Ratliff showed that the sequence of sets $…
Quintasymptotic sequences over an ideal and quintasymptotic cograde
Saeed Jahandoust, Reza Naghipour
Let denote an ideal of a Noetherian ring . The purpose of this article is to introduce the concepts of quintasymptotic sequences over and quintasymptotic cograde of ,…
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_…
On the generalization of Faltings' Annihilator Theorem
Mohammad Reza Doustimehr, Reza Naghipour
Let be a commutative Noetherian ring and let be a non-negative integer. In this article, by using the theory of Gorenstein dimensions, it is shown that whenever is a ho…
Faltings' local-global principle for the minimaxness of local cohomology modules
Mohammad Reza Doustimehr, Reza Naghipour
The concept of Faltings' local-global principle for the minimaxness of local cohomology modules over a commutative Noetherian ring is introduced, and it is shown that this prin…