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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

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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.

Keywords

(generalized) pseudo sub-eBE-algebra; eBE-filter; eBE-subalgebra; eBE-upper set; generalized) pseudo eBE-algebra; right (left) f-section

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

Copyright © 2024 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/).