| 互素多项式在线性变换下的维数特征 |
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| 引用本文： | 刘琼,吕登峰.互素多项式在线性变换下的维数特征[J].西安文理学院学报,2007,10(2):58-61. |
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| 作者姓名： | 刘琼 吕登峰 |
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| 作者单位： | 孝感学院数学系，孝感学院数学系 湖北孝感432000，湖北孝感432000，华中师范大学数学与统计学学院，湖北武汉430079 |
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| 摘 要： | 给出了一类线性变换多项式的维数特征定理,并通过将该定理应用于矩阵多项式的秩问题,获得或推广了现行相关文献中的许多结果。
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| 关 键 词： | 矩阵的秩 互素多项式 线性变换 |
| 文章编号： | 24486591 |
| 修稿时间： | 01 5 2007 12:00AM |
Dimension Characteristics of Relative Prime Polynomial in Linear Transformation |
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| LIU Qiong,L Deng-feng.Dimension Characteristics of Relative Prime Polynomial in Linear Transformation[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2007,10(2):58-61. |
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| Authors: | LIU Qiong L Deng-feng |
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| Institution: | 1. Department of Mathematics, Xiaogan University, Xiaogan 432000, China; 2. Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | A dimension characteristic theorem was developed for a type of linear substitution multinomial.By applying the theorem to the matrix multinomial rank problem,a number of results in the relevant documents were obtained or promoted. |
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| Keywords: | rank of matrix matrix polynomial linear transformation |
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