M. R. Doustimehr

activity

20132024

collaborators

6 papers

math.AC2024

The zero-divisor graph of an amalgamated algebra

Y. Azimi, M. R. Doustimehr

Let $R$ and $S$ be commutative rings with identity, $f : R \to S$ a ring homomorphism and $J$ an ideal of $S$ . Then the subring $R ⋈^{f} J := {(r, f (r) + j) ∣ r \in R$ and $j \in J}$ o…

math.AC2017

Faltings' Local-global Principle and Annihilator Theorem for the finiteness dimensions

Mohammad Reza Doustimehr

Let $R$ be a commutative Noetherian ring, $M$ a finitely generated $R$ -module and $n$ be a non-negative integer. In this article, it is shown that there is a finitely generated sub…

math.AC2014

Faltings' local-global principle for the finiteness of local cohomology modules over Noetherian rings

Ali Akbar Mehrvarz, Reza Naghipour, Monireh Sedghi

Let $R$ denote a commutative Noetherian (not necessarily local) ring, $a$ an ideal of $R$ and $M$ a finitely generated $R$ -module. The purpose of this paper is to show that $…

math.AC2013

On the generalization of Faltings' Annihilator Theorem

Mohammad Reza Doustimehr, Reza Naghipour

Let $R$ be a commutative Noetherian ring and let $n$ be a non-negative integer. In this article, by using the theory of Gorenstein dimensions, it is shown that whenever $R$ is a ho…

math.AC2013

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 $R$ is introduced, and it is shown that this prin…

math.AC2013

Faltings' local-global principle for the finiteness of local cohomology modules

Davood Asadollahi, Reza Naghipour

Let (R,m) be a complete local ring, a an ideal of R and M a finitely generated R-module. The aim of this paper is to show that for any non-negative integer n, the least integer i s…