16 citations · 26 across the 23 of their papers we have counts for
23 papers
Second semimodules over commutative semirings
Faranak Farshadifar
Let R be a semiring. We say that a non-zero subsemimodule S of an R-semimodule M is second if for each a \in R, we have aS = S or aS = 0. The aim of this paper is to study the noti…
Some graphs related to submodules of a module
Faranak Farshadifar
Let R be a commutative ring with identity and M be an R-module. In this paper, we introduce and investigate the second submodule intersection graph SSI(M) of M with vertices are no…
The dual notion of morphic modules over commutative rings
Faranak Farshadifar
Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to introduce and investigate the dual notion of morphic modules over a commutative ring…
nil--Noetherian and nil--Artinian modules
Faranak Farshadifar
Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as…
Survey on second submodules of modules over commutative rings
Faranak Farshadifar
Let R be a commutative ring with identity. The concept of second submodule of an R-module (as a dual notion of prime submodules) was introduced and studied by S.Yassemi in 2001. Th…
The dual of z-submodules of modules and some of extensions
F. Farshadifar, A. Molkhasi, E. Nazari
Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to introduced the dual notion of z-submodules of M and some of extensions. Moreover, we…
Finitely generated coreduced comultiplication modules
F. Farshadifar
This paper deals with some results concerning finitely generated coreduced comultiplication modules over a commutative ring.
Quasi -submodules of a reduced multiplication
F. Farshadifar
Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to defined the notion of quasi -submodules of M as an extension of -i…
The duals of annihilator conditions for modules
Faranak Farshadifar
Let R be a commutative ring with identity and let M be an R-module. The purpose of this paper is to introduce and investigate the submodules of an R-module M which satisfy the dual…
The dual of the notions r-submodules, n-submodules, and J-submodules
F. Farshadifar
Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to introduce and investigate the dual notions of r-submodules, n-submodules, and J-subm…
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…
Fully -idempotent modules
Faranak Farshadifar
Let R be a commutative ring with identity and S be a multiplicatively closed subset of R. The aim of this paper is to introduce the notion of fully S-idempotent modules as a genera…
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…
-2-absorbing submodules and -2-absorbing second submodules
Faranak Farshadifar
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and let M be an R-module. In this paper, we introduce the notion of S-2-absorbing second subm…
-secondary submodules of a module
Faranak Farshadifar
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and let M be an R-module. The aim of this paper is to introduce the notion of S-secondary sub…
-pure submodules of modules
F Farshadifar
Let R be a commutative ring, M an R-module. In this paper, we will introduce the concept of n-pure submodules of M as a generalization of pure submodules and obtain some related re…
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…
2-irreducible and strongly 2-irreducible submodules of a module
Faranak Farshadifar, Habibollah Ansari-Toroghy
Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2- irreducible) submodules of M as a…
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.
On the second spectrum of a module (II)
H. Ansari-Toroghy, S. Keyvani, F. Farshadifar
Let be a commutative ring and an -module. Let be the the collection of all second submodules of . In this article, we consider a new topology on $Spec^s(M…