Characterization of Regularity of Posemigroups by High-Quasi-Ideals

Theory of Approximation and Applications

مقاله 3، دوره 16، شماره 2، دی 2022، صفحه 15-22   

نوع مقاله: Research Articles

نویسنده

Mohammadmahdi Shamivand^*

Department of Mathematics, Borujerd Branch, Islamic Azad University, Borujerd, Iran.

چکیده

A semigroup S is called a posemigroup if S is equipped with an ordering relation
\ ≤ " such that a ≤ b in S implies xa ≤ xb and ax ≤ bx, for all x 2 S. In what follows
we study necessary and sufficient conditions that a posemigroup S to be regular, in
terms of certain conditions of Q∗ S, the semigroup of high-quasi-ideals of S. This study
gives us a characterization method of the regular posemigroups.

کلیدواژه‌ها

Posemigroup؛ Regular؛ High-quasi-ideal؛ High-bi-ideal