H. Ansari-Toroghy

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20122020

most citedSome generalizations of second submodules

16 citations · 21 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.AC2020

$ψ$ -second submodules of a module

F. Farshadifar, H. Ansari-Toroghy

Let R be a commutative ring with identity and M be an R-module. The main purpose of this paper is to introduce and study the notion of $ψ$ -second submodules of an R-module M.

math.AC2016★ 1 cited

An ideal-based cozero-divisor graph of a commutative ring

H. Ansari-Toroghy, F. Farshadifar, F. Mahboobi-Abkenar

Let $R$ be a commutative ring and let $I$ be an ideal of $R$ . In this paper, we introduce the cozero-divisor graph $Γ ˊ_{I} (R)$ of $R$ and obtain some related results.

math.AC2016

2-absorbing and strongly 2-absorbing secondary submodules of modules

H. Ansari-Toroghy, F. Farshadifar

In this paper, we will introduce the concept of 2-absorbing (resp. strongly 2-absorbing) secondary submodules of modules over a commutative ring as a generalization of secondary mo…

math.AC2016★ 16 cited

Some generalizations of second submodules

H. Ansari-Toroghy, F. Farshadifar

In this paper, we will introduce two generalizations of second submodules of a module over a commutative ring and explore some basic properties of these classes of modules.

math.AC2012★ 4 cited

On the second spectrum of a module (II)

H. Ansari-Toroghy, S. Keyvani, F. Farshadifar

Let $R$ be a commutative ring and $M$ an $R$ -module. Let $S p e c^{s} (M)$ be the the collection of all second submodules of $M$ . In this article, we consider a new topology on $Spec^s(M…

ψ-second submodules of a module

An ideal-based cozero-divisor graph of a commutative ring

2-absorbing and strongly 2-absorbing secondary submodules of modules

Some generalizations of second submodules

On the second spectrum of a module (II)

$ψ$ -second submodules of a module