半群上同余的若干性质

SOME PROPERTIES OF CONGRUENCES ON A SEMIGROUP

设S1含幺半群 ,T是S的一个子集 , a∈S ,记Ta={x∈S1|ax∈T} ,定义关系 ρT 如下 :(a ,b)∈ρT Ta=Tb。本文研究 ρT 的若干性质。借助 ρT

Let S 1 be a semigroup with identical element 1,T a subset of S.For any a∈S,denote T a={x∈S 1｜ax∈T} and define ρ T by (a,b)∈ρ TT a=T b.This paper studies some properties of ρ T.By using ρ T,we establish a representation for a right regular band.