关于Miller-Clifford定理的一点注释

A note on Miller-Clifford Theorem

设S是半群 ,a ∈S ,Da 表示a所在的D-类 ,对于b∈Da,本文讨论当ab∈Da 时 ,能判定ab∈Ra ∩Lb 的条件 。

Let D a be a D- class of a semigroup S and contain a.If b∈D a such that ab∈D a,are we then sure that ab∈R a∩L b?In this pa per,we discuss this problem and obtain a result about finite regular semigroups.