| 环Z/p~kZ上矩阵广义逆的拓展 |
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| 引用本文： | 吴炎,唐植华,黄敏,李足.环Z/p~kZ上矩阵广义逆的拓展[J].数学的实践与认识,2009,39(13). |
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| 作者姓名： | 吴炎 唐植华 黄敏 李足 |
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| 作者单位： | 1. 琼州学院,数学系,海南,五指山,572200
2. 琼州学院,计算机科学与技术系,海南,五指山,572200 |
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| 基金项目： | 海南省教育厅高等学校科研项目，海南省自然科学基金项目 |
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| 摘 要： | 设R=Z/pkZ(其中k>1,p是一个奇素数),A是R上一个给定的可相似对角化的n阶矩阵.利用组合方法和有限局部环上的矩阵方法,讨论了矩阵A的拓展广义逆,得到了矩阵A的拓展广义逆存在的充要条件和一些的计数定理.
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| 关 键 词： | 有限局部环 拓展的矩阵广义逆 计数定理 |
Widening Generalized Inverse Matrices of an Matrix A order n over Z/pkZ |
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| WU Yan,TANG Zhi-hua,HUANG Min,LI Zu.Widening Generalized Inverse Matrices of an Matrix A order n over Z/pkZ[J].Mathematics in Practice and Theory,2009,39(13). |
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| Authors: | WU Yan TANG Zhi-hua HUANG Min LI Zu |
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| Abstract: | Let R=Z/pkZ is a finite local ring,where p is an odd prime and k>1. Let matrix A is an n×n similar diagonalization matrix over R,in this paper,by the combined methods and matrix methods over finite local rings,Some classes of the widening generalized inverse matrices of an n×n matrix A with entries from R be discussed,and some necessary and sufficient conditions that having widening generalized Inverse matrices existence and some anzahl theorems of the widening generalized Inverse matrices about the matrix A be given. |
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| Keywords: | finite local ring widening generalized inverse matrix anzahl theorems |
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