含零元的同余自由正则半群的一个注记

A Note of Congruence-free Regular Semigroups with Zero Element

设S是一正则半群,E(S)为正则半群S上的幂等元集。通过建立S上的几种集合关系,得到了判断含零元同余自由正则半群的新方法。

In this paper, let S be a regular semigroup, and E（s） be the set of idempotent of regular semigroup S. By constructing the relation between sets in S, we obtain a new method to show the regular semigroup S with zero element is a congruence-free regular semigroup.