环上矩阵的广义Moore----Penrose逆

环上矩阵的广义Moore----Penrose逆

中文摘要

本文主要讨论1般环矩阵和带有对合反自同构*有单位元的环上矩阵的广义Moore---Penrose逆.并给出它们的广义Moore---Penrose逆存在的几个充要条件.

关键词：环；矩阵；*对称；广义Moore----Penrose逆.

On Moore----Penrose Inverses Of Matrices a Ring

ABSTRACT

This paper mainly discussed the Moore----Penrose inverses of matrices about general ring matrix and the ring R with an involution * and unitary. And we discussed some sufficient conditions for the existence of Moore----Penrose inverses of matrices over a ring R are given.

Keywords: ring, matrix; *--symmetric; Moore----Penrose inverse.