| 双边伪欧氏环及其上的矩阵标准形 |
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| 引用本文： | 邓勇,丁龙云.双边伪欧氏环及其上的矩阵标准形[J].山东大学学报(理学版),2007,42(9):114-118. |
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| 作者姓名： | 邓勇 丁龙云 |
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| 作者单位： | 1. 喀什师范学院,数理系,新疆,喀什,844006
2. 南开大学,数学学院,天津,300071 |
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| 摘 要： | 定义了双边伪欧氏环，并讨论了双边伪欧氏环上的矩阵的一些基本性质.建立了双边伪欧氏环上的矩阵标准形理论.证明了双边伪欧氏环上的n阶方阵环仍是双边伪欧氏环.
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| 关 键 词： | 双边伪欧氏环 矩阵 序数 |
| 文章编号： | 1671-9352（2007）09-0114-05 |
| 修稿时间： | 2007-01-10 |
Two-side pseudo-Euclidean rings and the normal form of matrices on them |
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| DENG Yong,DING Long-yun.Two-side pseudo-Euclidean rings and the normal form of matrices on them[J].Journal of Shandong University,2007,42(9):114-118. |
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| Authors: | DENG Yong DING Long-yun |
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| Institution: | 1. Department of Mathematics and Physics, Kashgar Normal College, Kashi 844006, Xinjiang, China; 2. School of Mathematical Sciences, Nankai University, Tianjin 300071, China |
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| Abstract: | The concept of two side pseudo-Euclidean rings was introduced and some basic properties of matrices on two side pseudo-Euclidean rings were given, The normal form of matrices on two side pseudo-Euclidean rings was given. It is proved that the matrix ring on a two side pseudo-Euclidean rings is also a two side pseudo-Euclidean rings. |
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| Keywords: | two side pseudo-Euclidean rings matrix ordinal number |
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