Samira Hosseinzadeh Alikhalaji, Mojtaba Sedaghatjoo and Mohammad Roueentan

TL;DR

This paper explores the structure of regular right uniform semigroups, aiming to deepen understanding of their properties and facilitate the characterization of regular right subdirectly irreducible semigroups within algebraic semigroup theory.

Contribution

It provides a detailed analysis of regular right uniform semigroups, offering new insights into their structure and applications in semigroup classification.

Findings

Characterization of regular right uniform semigroups

Structural insights into subdirectly irreducible semigroups

Foundation for further algebraic classifications

Abstract

In this paper we investigate right uniform notion on some classes of semigroups. The main objective of this paper is realizing the structure of regular right uniform semigroups which can be applied as a cornerstone of characterizing regular right subdirectly irreducible semigroups.