3 citations · 5 across the 12 of their papers we have counts for
12 papers
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…
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…
Cyclic-Uniform Uniserial Modules and Rings
R. Nikandish, M. J. Nikmehr, A. Yassine
An -module is called virtually uniserial if for every finitely generated submodule , Rad is virtually simple. In this paper, we generalize vir…
Coloring in essential annihilating-ideal graphs of commutative rings
R. Nikandish, M. Mehrara, M. J. Nikmehr
The essential annihilating-ideal graph of a commutative unital ring is a simple graph whose vertices are non-zero ideals of with non-zero annihilator and…
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…
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…
Coloring of cozero-divisor graphs of commutative von Neumann regular rings
R. Nikandish, M. J. Nikmehr, M. Bakhtyiari
Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertices in , which is the set of all non…
More on the Annihilator-Ideal Graph of a Commutative Ring
M. J. Nikmehr, S. M. Hosseini
Let be a commutative ring with identity and be the set of ideals of with non-zero annihilator. The annihilator-ideal graph of , denoted by , is…
When the Annihilator Graph of a Commutative Ring Is Planar or Toroidal?
Mohammad Javad Nikmehr, Reza Nikandish, Moharam Bakhtyiari
Let be a commutative ring with identity, and let be the set of zero-divisors of . The annihilator graph of is defined as the undirected graph with the ver…
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…
On weak -skew McCoy Rings
M. J. Nikmehr, A. Nejati, M. Deldar
Let be an endomorphism of a ring . We introduce the notion of weak -skew McCoy rings which are a generalization of the -skew McCoy rings and the weak McCo rings. Some…
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.