Structure Of ?-Regular ?-Semigroups

Authors

  • Dr K.Mrudula Devi, Viit, Visakhapatnam, Andhra Pradesh

Abstract

-Regular semigroups were introduced by J.A.Green[3] in his paper “On the structures of semigroups”. The concepts of -Semigroups was introduced by Sen M.K. and N.K.Saha[4 ]. In this paper, some structure theorems of special class of regular  -Semigroups i.e -Regular -Semigroups are presented. It is observed that every right regular -Semigroup is right -Regular and every left (right) -Regular -Semigroup is -Regular. It is also verified that the necessary and sufficient condition for a -Semigroup is to be regular (g-regular), completely regular, completely -Regular, left and right - Regular.

Published

2020-11-01

Issue

Section

Articles