Strongly Ψ -2-absorbing second submodules

Document Type : Research Paper

Authors

1 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

2 Department of Mathematics Education, Farhangian University, Tehran, Iran

Abstract

 Let R be a commutative ring with identity and M be an R-module.
Let Ψ : S(M) →S(M) ∪ ∅ be a function, where S(M) denotes the set of
all submodules of M. The main purpose of this paper is to introduce and
investigate the notion of strongly -2-absorbing second submodules of M as a
generalization of strongly 2-absorbing second and -second submodules of M.

Keywords

Main Subjects