5 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…
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,…