5 papers
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…
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…
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…