正则L半群上局部右逆半群的序定理特征

AN ORDER THEORETIC CHARACTERISATION OF LOCALLY R-UNPOTENT REGULAR, L SEMIGROUPS

本文给出了Ｌ半群的定义和一个例子，并且证明了在正则Ｌ半群上，≤＝≤ｅ，当且仅当这个半群是局部右逆半群。这里≤和≤ｅ分别由Ｎａｍｂｏｏｒｉｐｒｄ［１］；Ｌａｗｓｏｎ［２］给出。

In tills pager,We give a difinition of L semigrotlp and an example. showed that a regularL semigroup is a lacall R - unpotent semigroup.if and only if≤=≤e.≤e introduced byNanlbrooripad [1],≤e introduced by Lawson [2].