16 citations · 25 across the 14 of their papers we have counts for
7 papers · 1 filter
An ideal-based cozero-divisor graph of a commutative ring
H. Ansari-Toroghy, F. Farshadifar, F. Mahboobi-Abkenar
Let be a commutative ring and let be an ideal of . In this paper, we introduce the cozero-divisor graph of and obtain some related results.
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…
Classical and strongly classical 2-absorbing second submodules
H. Ansari-Toroghy, F. Farshadifar
In this paper, we will introduce the concept of classical (resp. strongly classical) 2-absorbing second submodules of modules over a commutative ring as a generalization of 2-absor…
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.
The large sum graph related to comultiplication modules
H. Ansari-Toroghy, F. Mahboobi-Abkenar
Let R be a commutative ring and M be an R-module. We define the large sum graph, denoted by \acute{G}(M), as a graph with the vertex set of non-large submodules of M and two distin…
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…
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…