A STUDY OF (α1,α2)-FUZZY SUBRINGS AND (α1,α2)-FUZZY IDEALS OF A RING

Document Type : Original Manuscript

Authors

Department of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, P.O. Box 411037, Pune, India.

10.22044/jas.2024.13111.1721

Abstract

As an extension to Liu's definition of fuzzy subring and fuzzy ideal, a new notion of $(\alpha_{1}, \alpha_{2})$-fuzzy subring and $(\alpha_{1}, \alpha_{2})$-fuzzy ideal of a ring is introduced. We have provided examples and analyzed their properties. Additionally, we have defined $(\alpha_{1}, \alpha_{2})$-fuzzy coset of a $(\alpha_{1}, \alpha_{2})$-fuzzy ideal of a ring and studied some of its properties.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 1
January 2026
Pages 113-133

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