On The Category of Completely Regular Semigroups

Abstract

In this paper class of completely regular semigroups is considered. It is well known that the category ℒ(S) of left ideals of regular semigroups form a normal category and the semigroup of normal cones in this category is a regular semigroup. Here it is shown that the semigroup of normal cones in the category ℒ(S) of a completely regular semigroup is completely regular. 2010 Mathematics Subject Classification: 20M17, 18D35 , 20M50.