Properties of GV-semigroups

Abstract

A semigroup S is called a GV-semigroup if for every element a of S there exists a positive integer n such that a n is regular and every regular element of S is completely regular element. Some new properties of GVsemigroups are shown in this paper. Some characters of Greens relations in GV-semigroups are first given. Moreover, idempotents and ideals in GV-semigroups are investigated.