| 正则环上矩阵分解 |
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| 引用本文： | 陈焕艮.正则环上矩阵分解[J].数学杂志,1999,19(4):405-407. |
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| 作者姓名： | 陈焕艮 |
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| 作者单位： | 湖南师范大学!长沙410006 |
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| 摘 要： | 利用幂等矩阵和单边可逆阵，给出了正则环上具有群逆的矩阵结构，并证明了具有奇数特征的单边单位正则环上的矩阵都可分解为两个单边可逆矩阵和形式。
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| 关 键 词： | 正则环 群逆 矩阵分解 幂等矩阵 单边可逆阵 |
DECOMPOSITION OF MATRICES OVER REGULAR RINGS |
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| Chen Huangen.DECOMPOSITION OF MATRICES OVER REGULAR RINGS[J].Journal of Mathematics,1999,19(4):405-407. |
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| Authors: | Chen Huangen |
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| Abstract: | By virtue of idempotent matrices and one sided unit matrices, we give the decomposition structure of matrices with group inverses over regular rings. Moreover, we investigate matrices over one sided regular rings with odd characteristic. |
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| Keywords: | regular ring group inverse decomposition |
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