| Generalized Inverses of Matrices over Rings |
| |
| 引用本文： | 韩瑞珠,陈建龙. Generalized Inverses of Matrices over Rings[J]. 数学季刊, 1992, 7(4): 40-47 |
| |
| 作者姓名： | 韩瑞珠 陈建龙 |
| |
| 作者单位： | Southeast University，Nanjing Agricultural University Nanjing 210018，Nanjing 210014 |
| |
| 摘 要： | Let R be a ring, * be an involutory function of the set of all finite matrices over R. In this paper, necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse, (1,4)-inverse, or Moore-P enrose inverse, relative to *. Some results about generalized inverses of matrices over division rings are generalized and improved.
|
| 关 键 词： | 矩阵 广义逆 对合函数 FP－单射环 Moore－Penrose逆 一元运算 正性 除环 |
Generalized Inverses of Matrices over Rings |
| |
| Han Ruizhu Chen Jianlong. Generalized Inverses of Matrices over Rings[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(4): 40-47 |
| |
| Authors: | Han Ruizhu Chen Jianlong |
| |
| Affiliation: | [1]SoutheastUniversity,Nanjing,210018 [2]NanjingAgriculturalUniversity,Nanjing,210014 |
| |
| Abstract: | Let R be a ring,*be an involutory function of the set of all finite matrices over R. In this pa-per,necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse,(1,4)-inverse,or Morre-Penrose inverse,relative to *.Some results about generalized inverses of matrices over division rings are generalized and improved. |
| |
| Keywords: | generalized inverse involutory function FP-injective ring |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
