A. Azari

most citedSymbolic powers of ideals and their topology over a module

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AC2018

Symbolic powers and generalized-parametric decomposition of monomial ideals on regular sequences

Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour

Let $R$ be a commutative Noetherian ring and let $x := x_{1}, \dots, x_{d}$ be a regular $R$ -sequence contained in the Jacobson radical of $R$ . An ideal $I$ of $R$ is said to be a…

math.AC2016

A Characterization of locally quasi-unmixed rings

Simin Mollamahmoudi, Adeleh Azari, Reza Naghipour

Let $I ˉ$ denote the integral closure of an ideal in a Noetherian ring $R$ . The main result of this paper asserts that $R$ is locally quasi-unmixed if and only if, the topologi…

math.AC2016

Note on linearly equivalent ideal topologies over Noetherian modules

Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour

Let $R$ be a commutative Noetherian ring, and let $N$ be a non-zero finitely generated $R$ -module. In this paper, the main result asserts that for any $N$ -proper ideal $a$ of…

math.AC2016★ 1 cited

Symbolic powers of ideals and their topology over a module

Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour

Let $I$ denote an ideal of a Noetherian ring $R$ and $N$ a non-zero finitely generated $R$ -module. In the present paper, some necessary and sufficient conditions are given to deter…