Annals of Communications in Mathematics

AbstractIn this article, we expose some new results about PMS-algebras. Thus, by connecting the concepts of subalgebras and ideals as well as ideals and right congruences in this class of logical algebras, we expand the paradigm related to PMS-algebras.

AbstractThe 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.