| 具有稳定元的方块矩阵 |
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| 引用本文： | 陈焕艮. 具有稳定元的方块矩阵[J]. 杭州师范大学学报(自然科学版), 2011, 0(4): 289-297 |
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| 作者姓名： | 陈焕艮 |
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| 作者单位： | 杭州师范大学理学院; |
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| 摘 要： | 把稳定环推广到理想上,从而讨论了具有稳定元的方块矩阵,得到了置换环上这类矩阵可对角化,进一步讨论了其它相关的稳定性问题.
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| 关 键 词： | 1-稳定理想 单位1-稳定理想 2-稳定理想 方块矩阵 |
On Square Matrices with Stable Entries |
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| CHEN Huan-yin. On Square Matrices with Stable Entries[J]. , 2011, 0(4): 289-297 |
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| Authors: | CHEN Huan-yin |
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| Affiliation: | CHEN Huan-yin(College of Science,Hangzhou Normal University,Hangzhou 310036,China) |
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| Abstract: | This paper extended stable rings to ideals of a ring,and investigated matrices with stable entries.The results prove that every square matrix with 1 stable entries over an exchange ring admits a diagonal reduction,and that every square matrix with unit 1 stable entries is a sum of two invertible matrices.The paper obtained an analogous result by square matrices with 2 stable entries,and studied triangular decompositions of square matrices with stable entries. |
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| Keywords: | 1-stable ideal unit 1-stable ideal 2-stable ideal square matrix |
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