| 矩阵环F[A]中元素的可逆性 |
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| 引用本文： | 王新民,朱淑花,孙霞. 矩阵环F[A]中元素的可逆性[J]. 数学的实践与认识, 2008, 38(23) |
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| 作者姓名： | 王新民 朱淑花 孙霞 |
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| 作者单位： | 1. 潍坊学院,数学系,潍坊,261061
2. 山东信息职业技术学院,基础部,潍坊,261061 |
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| 摘 要： | 研究了矩阵环F[A]中元素可逆的条件,讨论了矩阵环F[A]上的矩阵的初等变换与初等矩阵的性质,给出了求F[A]中可逆元的逆元的一个简便方法.
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| 关 键 词： | 矩阵环F[A] 可逆元 F[A]上的矩阵 F[A]上矩阵的初等变换 |
The Reversibility of a Element in the Matrix Ring F[A] |
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| WANG Xin-min,ZHU Shu-hua,SUN Xia. The Reversibility of a Element in the Matrix Ring F[A][J]. Mathematics in Practice and Theory, 2008, 38(23) |
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| Authors: | WANG Xin-min ZHU Shu-hua SUN Xia |
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| Affiliation: | 1.Department of Mathematics;Weifang University;Weifang 261061;China;2.Department of Basic Courses;Shandong College of Information Technology;China |
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| Abstract: | The Reversibility of a Element in the Matrix Ring F[A]is studied.The properties of elementary transformations of a matrix and elementary matrices on the Matrix Ring F[A]is discussed.With it we can obtain a simple and convenient method for the reverse element in the Matrix Ring F[A]. |
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| Keywords: | matrix ring F[A] reverse element matrix on the Matrix Ring F[A] elementary transformations of a matrix on the Matrix Ring F[A] |
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