| 非交换主理想整环上三矩阵乘积的Moore-Penrose逆的倒换顺序律 |
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| 引用本文： | 张锦川.非交换主理想整环上三矩阵乘积的Moore-Penrose逆的倒换顺序律[J].数学的实践与认识,1999(2). |
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| 作者姓名： | 张锦川 |
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| 作者单位： | 泉州教育学院!泉州362000泉州师范专科学校，泉州，362000 |
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| 摘 要： | 本文研究非交换主理想整环R上三矩阵乘积M-P逆的倒序律成立的刻划问题文中阐述R上矩阵的秩的定义,并利用R上矩阵与 R所嵌入的商除环K上矩阵的秩之间的关系,把文2]中复矩阵的主要结果直至推广到R上,得到了倒序律成立的若干个刻划.
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| 关 键 词： | 非交换上理想整环 Moore-penrose逆 秩 倒换顺序律 |
The Reverse Order Law About the Moore-Penrose Inverse of the Product of Three Motrices Over a Non-Commutative PID |
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| ZHANG JIN-CHUAN.The Reverse Order Law About the Moore-Penrose Inverse of the Product of Three Motrices Over a Non-Commutative PID[J].Mathematics in Practice and Theory,1999(2). |
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| Authors: | ZHANG JIN-CHUAN |
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| Abstract: | This paper studies characterzation, for the reverse order law about the Moore-Peuro.se inverse of product of three matrices over a non-commutative principal ideal domain R, and generalized the results of matrices over the complex field to R. |
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| Keywords: | Non-( 'oiiimutative prinripal ideal domain Moore-Penrese inverse rank re-?order law |
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