| 有限维局部代数上的矩阵的秩及其应用（英文） |
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| 引用本文： | 白秋雪,李文静,宋伟林,张跃辉.有限维局部代数上的矩阵的秩及其应用（英文）[J].宁夏师范学院学报,2011,32(6):11-13,21. |
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| 作者姓名： | 白秋雪 李文静 宋伟林 张跃辉 |
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| 作者单位： | 天津职业技术师范大学理学院,天津,300220 |
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| 基金项目： | Supported by the NSF of China(10725104);STCSM(09XD1402500) |
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| 摘 要： | 证明通常矩阵的可逆与满秩是等价的这一事实可以推广到有限维局部交换代数上的矩阵代数.作为一个应用,我们给出经典McCoy’s定理的一个简单证明.
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| 关 键 词： | 局部代数 可逆性 矩阵的秩 McCoy定理 |
Rank of Matrix of Finite Dimensional Local Algebras and Its Application |
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| BAI Qiuxue,LI Wenjing,SONG Weilin,ZHANG Yuehui.Rank of Matrix of Finite Dimensional Local Algebras and Its Application[J].Journal of Ningxia Teachers College,2011,32(6):11-13,21. |
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| Authors: | BAI Qiuxue LI Wenjing SONG Weilin ZHANG Yuehui |
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| Institution: | (School of Science,Tianjin University of Technology and Education,Tianjin 300220) |
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| Abstract: | It is proved that the usual equivalence of full rank and invertibility of matrices can be generalized over matrix algebra over a Finite dimensional commutative local algebra.As an application,a very simple proof is given for classical McCoy′s theorem. |
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| Keywords: | Local algebras Invertibility Full rank of matrix McCoy′s theorem |
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