| 体上矩阵的减序及其性质 |
| |
| 引用本文： | 张炳村,蔡梦,黄礼平. 体上矩阵的减序及其性质[J]. 湖南文理学院学报(自然科学版), 2013, 0(2): 1-3 |
| |
| 作者姓名： | 张炳村 蔡梦 黄礼平 |
| |
| 作者单位： | 长沙理工大学数学与计算科学学院,湖南长沙410004 |
| |
| 基金项目： | 湖南省教育厅资助重点科研项目（10A002）; 2012长沙理工大学研究生科研创新项目 |
| |
| 摘 要： | 定义了体上矩阵减序,将减序推广到任意有单位元的环上矩阵,并对其性质作了一个简明的讨论.应用体上矩阵理论,证明了体上矩阵减序的5个充要条件.
|
| 关 键 词： | 体 矩阵减序 广义逆 |
Minus order of matrices over division ring and its properties |
| |
| ZHANG Bing-cun,CAI Meng,HUANG Li-ping. Minus order of matrices over division ring and its properties[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2013, 0(2): 1-3 |
| |
| Authors: | ZHANG Bing-cun CAI Meng HUANG Li-ping |
| |
| Affiliation: | (School of Mathematics, Changsha University of Science and Technology, Changsha 410004, China) |
| |
| Abstract: | The benefit of this definition is that the minus partial order was extended to matrices over any ring with identity element. The properties was discussed concisely for the minus partial order of matrices over a division ring. Applying the theory of matrices over a division ring, 5 sufficient and necessary conditions for the minus partial order of matrix over division ring were proven. |
| |
| Keywords: | division ring minus order of matrices generalized inverse |
| 本文献已被 CNKI 维普 等数据库收录！ |
