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

Jyotı Khubchandanı; Payal Khubchandanı

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

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

Thanks

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

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Jyotı Khubchandanı ^*
0000-0003-3155-0817
India

Payal Khubchandanı
0000-0003-2002-8775
India

Publication Date

April 7, 2026

Submission Date

March 14, 2025

Acceptance Date

July 23, 2025

Published in Issue

Year 2026 Volume: 16 Number: 4

IZ

https://izlik.org/JA48WM46PZ

Cite

RIS / Bibtex

APA

Khubchandanı, J., & Khubchandanı, P. (2026). A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS. TWMS Journal of Applied and Engineering Mathematics, 16(4), 472-481. https://izlik.org/JA48WM46PZ

AMA

1.Khubchandanı J, Khubchandanı P. A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS. JAEM. 2026;16(4):472-481. https://izlik.org/JA48WM46PZ

Chicago

Khubchandanı, Jyotı, and Payal Khubchandanı. 2026. “A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS”. TWMS Journal of Applied and Engineering Mathematics 16 (4): 472-81. https://izlik.org/JA48WM46PZ.

EndNote

Khubchandanı J, Khubchandanı P (April 1, 2026) A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS. TWMS Journal of Applied and Engineering Mathematics 16 4 472–481.

IEEE

[1]J. Khubchandanı and P. Khubchandanı, “A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS”, JAEM, vol. 16, no. 4, pp. 472–481, Apr. 2026, [Online]. Available: https://izlik.org/JA48WM46PZ

ISNAD

Khubchandanı, Jyotı - Khubchandanı, Payal. “A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS”. TWMS Journal of Applied and Engineering Mathematics 16/4 (April 1, 2026): 472-481. https://izlik.org/JA48WM46PZ.

JAMA

1.Khubchandanı J, Khubchandanı P. A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS. JAEM. 2026;16:472–481.

MLA

Khubchandanı, Jyotı, and Payal Khubchandanı. “A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 4, Apr. 2026, pp. 472-81, https://izlik.org/JA48WM46PZ.

Vancouver

1.Jyotı Khubchandanı, Payal Khubchandanı. A STUDY OF FUZZY $\mathcal{W}$-CLOSED SUBMODULES AND RELATED CONCEPTS. JAEM [Internet]. 2026 Apr. 1;16(4):472-81. Available from: https://izlik.org/JA48WM46PZ