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20132022
most citedThe intersection graph of ideals of is\\ weakly perfect

3 citations · 5 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.AC2022

On pseudo-absorbing primary multiplication modules over pullback rings

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

A famous result due to L. S. Levy provides a classification of all finitely generated indecomposable modules over Dedekind-like rings. This motivates us to outline an approach to t…

math.AC2022

Commutative rings whose proper ideals are direct sum of cyclically presented modules

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

A famous result due to I. M. Isaacs states that if a commutative ring has the property that every prime ideal is principal, then every ideal of is principal. This motivates…

math.AC2021★ 1 cited

On weakly -absorbing prime ideals of commutative rings

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

Let be a commutative ring with identity. In this paper, we introduce the concept of weakly -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 are defined and some basics properties of them are studied. We d…

math.AC2013★ 3 cited

The intersection graph of ideals of is\\ weakly perfect

R. Nikandish, M. J. Nikmehr

A graph is called weakly perfect if its vertex chromatic number equals its clique number. Let be a ring and be the set of all left proper non-trivial ideals of . Th…

math.AC2013

The M-Principal Graph of a Commutative Ring

M. J. Nikmehr, F. Heydari

This paper has been withdrawn by the author because there are some typos in proofs.