M. Nikmehr

activity

20172021

1

-absorbing prime ideals of commutative rings

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

collaborators

5 papers

math.AC2021★ 1 cited

On weakly $1$ -absorbing prime ideals of commutative rings

M. J. Nikmehr, R. Nikandish, A. Yassine

Let $R$ be a commutative ring with identity. In this paper, we introduce the concept of weakly $1$ -absorbing prime ideals which is a generalization of weakly prime ideals. A proper…

math.AC2021

Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings

M. J. Nikmehr, R. Nikandish, A. Yassine

In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring $(R, +, \cdot)$ are defined and some basics properties of them are studied. We d…

math.CO2018

Coloring of cozero-divisor graphs of commutative von Neumann regular rings

R. Nikandish, M. J. Nikmehr, M. Bakhtyiari

Let $R$ be a commutative ring with non-zero identity. The cozero-divisor graph of $R$ , denoted by $Γ^{'} (R)$ , is a graph with vertices in $W^{*} (R)$ , which is the set of all non…

math.CO2017

More on the Annihilator-Ideal Graph of a Commutative Ring

M. J. Nikmehr, S. M. Hosseini

Let $R$ be a commutative ring with identity and $A (R)$ be the set of ideals of $R$ with non-zero annihilator. The annihilator-ideal graph of $R$ , denoted by $A_{I} (R)$ , is…

math.CO2017

When the Annihilator Graph of a Commutative Ring Is Planar or Toroidal?

Mohammad Javad Nikmehr, Reza Nikandish, Moharam Bakhtyiari

Let $R$ be a commutative ring with identity, and let $Z (R)$ be the set of zero-divisors of $R$ . The annihilator graph of $R$ is defined as the undirected graph $A G (R)$ with the ver…