ψ-SECONDARY SUBMODULES OF A MODULE F. Farshadifar and H. Ansari-Toroghy

Let R be a commutative ring with identity andM 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 . Mathematics Subject Classification (2010): 13C05