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Generalizations of Pseudo eBE-algebras

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh-522237, India

Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Republic of Korea

* Corresponding Author
Annals of Communications in Mathematics 2024
, 7 (2),
160-175.
https://doi.org/10.62072/acm.2024.070207
Received: 15 May 2024 |
Accepted: 21 Jun 2024 |
Published: 30 Jun 2024

Abstract

After BE-algebra was introduced by Kim et al., its generalization was attempted by several scholars. As a follow-up, Borzooei et al., Rezaei et al. and Sayyad et al. introduced pseudo BE-algebra, eBE-algebra and pseudo eBE-algebra, respectively. The aim of this article is to consider more extended version of pseudo eBE-algebra. The concepts of generalized pseudo eBE-algebra, (generalized) pseudo sub-eBE-algebra, eBEsubalgebra, eBE-filter, right (left) f-section and eBE-upper set are introduced and related properties, interrelationships and characterizations are studied.

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Cite This Article

Generalizations of Pseudo eBE-algebras.

Annals of Communications in Mathematics,

2024,
7 (2):
160-175.
https://doi.org/10.62072/acm.2024.070207
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  • Copyright (c) 2023 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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