On m-bi-interior ideals of an ordered semigroup

TL;DR

This paper introduces and studies m-bi-interior ideals in ordered semigroups, characterizing various subclasses like m-simple and m-regular semigroups through these ideals.

Contribution

It defines m-bi-interior ideals and provides characterizations of m-simple and m-regular ordered semigroups using these ideals.

Findings

Characterization of m-bi-interior ideals in ordered semigroups

Descriptions of m-simple and m-regular ordered semigroups

Diverse subclass characterizations based on m-bi-interior ideals

Abstract

In this article, we concurrently explore the class of m-bi-ideals as well as the class of m- interior ideals in an ordered semigroup. We call these class of ideals as m-bi-interior ideals. Here, m-simple, m-regular ordered semigroups and their various subclasses get characterized in diverse manners as per their m-bi-interior ideals.