| 关于环上矩阵的群逆与Drazin逆 |
| |
| 引用本文： | 陈建龙.关于环上矩阵的群逆与Drazin逆[J].数学学报,1994,37(3):373-380. |
| |
| 作者姓名： | 陈建龙 |
| |
| 作者单位： | 东南大学数力系!南京210018 |
| |
| 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．
|
| 关 键 词： | 群逆 Drazin逆 高矩阵 |
| 收稿时间： | 1991-9-24 |
| 修稿时间： | 1992-8-6 |
Group Inverses and Drazin Inverse of Matrices over Rings |
| |
| Chen Jianlong.Group Inverses and Drazin Inverse of Matrices over Rings[J].Acta Mathematica Sinica,1994,37(3):373-380. |
| |
| Authors: | Chen Jianlong |
| |
| Institution: | Chen Jianlong (Department of Mathematics and Mechanics, Southeast University, Nanjing 210018, China) |
| |
| Abstract: | 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. |
| |
| Keywords: | group inverse Drazin inverse high matrix |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
