| 置换环上的稳定矩阵 |
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| 引用本文： | 陈焕艮,陈淼森.置换环上的稳定矩阵[J].数学进展,2006,35(1):120-124. |
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| 作者姓名： | 陈焕艮 陈淼森 |
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| 作者单位： | 浙江师范大学数学系,金华,浙江,321004 |
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| 摘 要： | 本文证明了置换环上的正则稳定矩阵是幂等矩阵和可逆矩阵的积,进一步证明了置换环上的正则稳定矩阵可以对角化。
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| 关 键 词： | 置换环 稳定矩阵 对角化 |
| 文章编号： | 1000-0917（2006）01-0120-05 |
| 收稿时间： | 2004-03-25 |
| 修稿时间： | 2004-09-10 |
Stable Matrices Over Exchange Rings |
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| CHEN Huan-gen,CHEN Miao-sen.Stable Matrices Over Exchange Rings[J].Advances in Mathematics,2006,35(1):120-124. |
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| Authors: | CHEN Huan-gen CHEN Miao-sen |
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| Institution: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410006, P. R. China; 2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China |
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| Abstract: | Let R be an exchange ring. It is shown that every square regular stable matrix over R admits a diagonal reduction. For any stable matrices A,B ∈ Mn(R),if A Band BA have Drazin inverse, we also prove that there exists U ∈ GLn(R)such that(AB)a =U(BA)dU-1. |
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| Keywords: | exchange ring stable matrix diagonal reduction |
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