A STUDY OF FUZZY $\mathcal{P}$-ESSENTIAL SUBMODULES

Year 2025, Volume: 15 Issue: 9, 2260 - 2268, 01.09.2025

Jyotı Khubchandanı , Payal Khubchandanı

Abstract

In this paper, we introduce the concept of fuzzy $\mathcal{P}$-essential submodule of an $R$-module $M$. This concept is a generalization of the concept of fuzzy essential submodule. Also, we investigate various properties of $\mathcal{P}$-essential submodules concerning fuzzy multiplication modules over a commutative ring.

Keywords

Fuzzy essential submodules , fuzzy $\mathcal{P}$-essential submodule , fuzzy fully $\mathcal{P}$-essential submodule , fuzzy $\mathcal{P}$-uniform module

Thanks

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

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