A study of fuzzy W-closed submodules and related concepts

Abstract

In this paper we define fuzzy weak essential submodules to introduce the concept of fuzzy W-closed submodules of an R-module M. Further, we define fuzzy fully semiprime module. We use the condition of fuzzy fully semiprime module to show that a non-constant fuzzy closed submodule is W-closed in M. Also, the chain condition on fuzzy W-closed submodules is studied.