Fuzzy Bi-Quasi-Interior Ideals of Semirings
1Department of Mathematics, GIS, GITAM(Deemed to be University), Visakhapatnam- 530 045, A.P., India.2Department of Mathematics, Sankethika Institute of Tech. and Management, Visakhapatnam-530 041, A.P., India.
* Corresponding Author: Rajendra Kumar Kona. Email: rkkona1972@gmail.com
Received: 09 September 2025 |
Accepted: 13 September 2025 |
Published: 30 September 2025
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ABSTRACT.
In this paper, we introduce the notion of a fuzzy bi-quasi interior ideal as a generalization of fuzzy ideals, fuzzy bi-quasi ideals, fuzzy quasi-interior ideals and fuzzy bi-interior ideals of a semiring. We prove that every fuzzy right quasi-interior ideal of a semiring is a fuzzy bi-quasi interior ideal and a fuzzy bi-quasi interior ideal is a fuzzy right tri-ideal of a semiring. We characterize the regular semiring in terms of fuzzy bi-quasi interior ideals and study some of the properties.
Ganesh Kumar Reddi, M. Murali Krishna Rao, Rajendra Kumar Kona, Vineela B.
Fuzzy Bi-Quasi-Interior Ideals of Semirings.
Annals of Communications in Mathematics
https://doi.org/10.62072/acm.2025.080308
Copyright © 2025 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
https://creativecommons.org/licenses/by/4.0/).
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