对合半群中元素的*·Moore-Penrose逆

The * ·Moore-Penrose Ivnerse of Element in an Involutive Semigroup

本文给出了对合半群中元素的*·Moore-Penrose逆的十种刻划,证得了此广义逆的八个表达式,从而将〔2～5〕的相应结果推广到半群中。

This paper gave ten characterizations of the *·Moore-Penrose inverse of an element in an involutive semigroup; proved eight expressions for this generalized inverse, hence generalized corresponding results ofthe papers [2~ 5] to in a semigroup.