activity
20152020
most citedThe annihilating-submodule graph of modules over commutative rings

3 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

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.AC2016

The annihilating-submodule graph of modules over commutative rings II

Habibollah Ansari-Toroghy, Shokoufeh Habibi

Let M be a module over a commutative ring R. In this paper, we continue our study of annihilating-submodule graph AG(M) which was introduced in (The Zariski topology-graph of modul…

math.AC2016★ 3 cited

The annihilating-submodule graph of modules over commutative rings

Habibollah Ansari-Toroghy, Shokoufeh Habibi

Let M be a module over a commutative ring R. In this paper, we continue our study of annihilating-submodule graph AG(M) which was introduced in (The Zariski topology-graph of modul…

math.AC2015

The Zariski topology-graph on the maximal spectrum of modules over commutative rings

Habibollah Ansari-Toroghy, Shokoufeh Habibi

Let M be a module over a commutative ring and let Spec(M) (resp. Max(M)) be the collection of all prime (resp. maximal) submodules of M. We topologize Spec(M) with Zariski topology…