A STUDY OF FUZZY W-CLOSED SUBMODULES AND RELATED CONCEPTS

A STUDY OF FUZZY W-CLOSED SUBMODULES AND RELATED CONCEPTS

J. A. Khubchandani, P. A. Khubchandani

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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.

Keywords

fuzzy W-closed submodules, fuzzy weak essential submodules, fuzzy fully semi-prime submodules.