1 citations · 1 across the 8 of their papers we have counts for
9 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 $…