摘要
正则左Ｓ系是ｖｏｎＮｅｕｍａｎｎ正则半群的自然推广，逆左Ｓ系是逆半群的自然推广．作为左逆半群的自然推广，本文引入了Ｌ逆左系的概念，并用来刻画了几类幺半群，如左逆幺半群，逆幺半群，ａｄｅｑｕａｔｅ幺半群等．
It is well known that regular left acts and inverse left acts are natural generalizations of von Neumann regular semigroups and inverse semigroups,respectively. As a natural generalization of left inverse semigroups, we introduce a concept of L inverse left acts. Some characterizations of monoids are given using properties of L inverse left acts.
基金
甘肃省自然科学基金资助的课题
