具有拟理想恰当断面的富足半群

摘要

利用格林*-关系刻画R和L并给出与它们相关的一些性质.利用R和L,得到恰当断面是拟理想的几个等价条件.最后,用两个结构构件R和L给出具有拟理想恰当断面的富足半群的一个结构定理.它比陈建飞在2000年给出的要简单.%This paper describes R and L by Green's *-relations and gives some properties associated with them. By using R and L,some equivalent conditions for adequate transversal to be a quasi-ideal are obtained. Finally,we give a structure theorem for abundant semigroups with quasi-ideal adequate transversals by two components R and L. It is simpler than that Chen gave in 2000.