A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS

Year 2026, Volume: 16 Issue: 4 , 472 - 481 , 07.04.2026

Jyotı Khubchandanı , Payal Khubchandanı

https://izlik.org/JA48WM46PZ

Abstract

In this paper we define fuzzy weak essential submodules to introduce the concept of fuzzy $\mathcal{W}$-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 $\mathcal{W}$-closed in $M$. Also, the chain condition on fuzzy $\mathcal{W}$-closed submodules is studied.

Keywords

fuzzy $\mathcal{W}$-closed submodules , fuzzy weak essential submodules , fuzzy fully semi-prime submodules

Thanks

The authors are thankful to the referee for helpful suggestions, which improved the paper.

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