摘要
本文中,我们利用π─正则环的理论,使用具有一般性的方法,对环上矩阵的Drazin逆进行了讨论,得到了环上一切矩阵的Drazin逆存在的若干充分必要条件。
In this paper, the theory of π─regular rings is used to discuss the Drazin inverse of matrices. Necessary and sufficient conditions are given for the matrix to have a Drazin inverse.
关键词
DRAZIN逆
强正则环
环
矩阵
逆
Drazin inverse
π─regular rings
strongly regular rings