Title of article :
ψ-SECONDARY SUBMODULES OF A MODULE
Author/Authors :
Farshadifar, F Department of Mathematics - Farhangian University , Ansari-Toroghy, H. Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
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) denote the set of
all submodules of M. The main purpose of this paper is to introduce and
investigate the notion of ψ-secondary submodules of an R-module M as a
generalization of secondary submodules of M.
Keywords :
Secondary submodule , phi-prime ideal , weak secondary submodule , psi-secondary submodule
Journal title :
International Electronic Journal of Algebra
