关于环上矩阵的群逆与Drazin逆  

Group Inverses and Drazin Inverse of Matrices over Rings

作　　者：陈建龙[1] 

机构地区：[1]东南大学数力系,南京210018

出　　处：《数学学报（中文版）》1994年第3期373-380,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：本文给出了环上一类方阵有群逆，｛１，５｝－道的充要条件及其它们的表式，推广了体（域）上关于群逆的Ｃｌｉｎｅ定理．此外还首次得到了矩阵有Ｄｒａｚｉｎ逆的判别准则及其它的表式．In this paper, we give necessary and sufficient conditions for the existence of group inverses, (1, 5)-inverses, Drazin inverses of a class of matrices over rings and new formulas for these inverses if they exist. We also generalize the Cline theorem of group inverses over division rings.

关 键 词：群逆 DRAZIN逆 矩阵 环 

分 类 号：O153.3[理学—数学]