A note on "On Green's relations, $2^{0}$-regularity and quasi-ideals in $\Gamma$-semigroups, Acta Math. Sin., Engl. Ser., 29, No. 3, 609-624(2013)"

TL;DR

This paper corrects inaccuracies in a previous work on $ ext{Gamma}$-semigroups, introduces new concepts, and explores their properties to improve understanding of the algebraic structure.

Contribution

It identifies and rectifies errors in earlier research, introduces new notions in $ ext{Gamma}$-semigroups, and investigates their properties.

Findings

Correction of previous inaccuracies

Introduction of new notions in $ ext{Gamma}$-semigroups

Analysis of properties of the new notions

Abstract

The aim of this note is to point out some inaccuracies in our paper \cite{HD} and to fix them. Some new notions are introduced and properties of them are investigated.