collaborators

7 papers

math.AC2020

On S-primary submodules

H. Ansari-Toroghy, S. S. Pourmortazavi

Let be a commutative ring with identity, a multiplicatively closed subset of , and be an -module. In this paper, we study and investigate some properties of -p…

math.AC2020

Fully -coidempotent modules

F. Farshadifar, H. Ansari-Toroghy

Let R be be a commutative ring with identity and S be a multiplicatively closed subset of R. In this article we introduce the concepts of S-coidempotent submodules and fully S-coid…

math.AC2020

Strongly --absorbing second submodules

H. Ansari-Toroghy, F. Farshadifar, S. Maleki-Roudposhti

Let R be a commutative ring with identity and M be an R-module. The main purpose of this paper is to introduce and investigate the notion of strongly ψ-2-absorbing second submodule…

math.AC2020

The Zariski topology-graph of modules over commutative rings II

Habibollah Ansari-Toroghy, Shokoufeh Habibi

Let be a module over a commutative ring . In this paper, we continue our study about the Zariski topology-graph which was introduced in (The Zariski topology-graph…

math.AC2020

Domination number in the annihilating-submodule graph of modules over commutative rings

Habibollah Ansari-Toroghy, Shokoufeh Habibi

Let be a module over a commutative ring . The annihilating-submodule graph of , denoted by , is a simple graph in which a non-zero submodule of is a vertex…

math.AC2019

Some generalizations of strongly prime ideals

H. Ansari-Toroghy, F. Farshadifar, S. Maleki-Roudposhti

In this paper, we introduce the concepts of strongly 2-absorbing primary ideals (resp., submodules) and strongly 2-absorbing ideals (resp., submodules) as generalizations of strong…