Open AccessArticle

A Few Observations and Some New Results on AB-algebras

International Mathematical Virtual Institute, Kordunaska Street 6, 78000 Banja Luka, Bosnia and Herzegovina.

Annals of Communications in Mathematics 2025, 8 (2), 209-224. https://doi.org/10.62072/acm.2025.080205

Received: 09 May 2025 |

Accepted: 19 June 2025 |

Published: 30 June 2025

Download PDF

Abstract

The notion of AB-algebras was introduced in 2017 by Hameed and Abbas. Subsequently, this class of algebras was the subject of study by several authors. In this paper, in addition to giving an overview of some of the results and assertions about this class of logical algebras, we comment on a significant number of demonstrations of these assertions, and also state several new assertions and demonstrate their proofs.

Keywords

AB-algebra; congruence; Direct product; Ideal; sub-algebra; weak AB-algebra

Cite This Article

Daniel A. Romano.

A Few Observations and Some New Results on AB-algebras.

Annals of Communications in Mathematics

2025,

8 (2):

209-224.

https://doi.org/10.62072/acm.2025.080205

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/).