| 域上保持对合矩阵的函数 |
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| 引用本文： | 樊玉环,马艳芬,蒋超凡.域上保持对合矩阵的函数[J].河北科技大学学报,2014,35(6):538-542. |
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| 作者姓名： | 樊玉环 马艳芬 蒋超凡 |
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| 作者单位： | 黑龙江工程学院数学系,黑龙江哈尔滨,150001 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 受保持矩阵一些性质的函数的启发,研究了特征不为2的域上矩阵空间的函数保持问题。主要运用线性代数的知识,从寻求新的不变量角度出发,通过寻求特殊的对合矩阵,刻画了特征不为2的域上全矩阵空间及上三角矩阵空间的保持对合矩阵的函数。
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| 关 键 词： | 保持 对合矩阵 上三角矩阵 函数 |
| 收稿时间： | 2014/6/23 0:00:00 |
| 修稿时间： | 2014/8/20 0:00:00 |
Functions preserving involutory matrix over fields |
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| FAN Yuhuan,MA Yanfen and JIANG Chaofan.Functions preserving involutory matrix over fields[J].Journal of Hebei University of Science and Technology,2014,35(6):538-542. |
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| Authors: | FAN Yuhuan MA Yanfen and JIANG Chaofan |
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| Abstract: | Being inspired by some functions which preserve certain propties of matries,this paper studies the preserving problem of functions in matrix space over a field with the characteristic not being 2. By using the knowledge of linear algebra, starting from the way of searching new invariants and finding special involutory matrices, we depict the functions preserving involutory matrices on the upper triangular matrix space and the matrix space over a field with the characteristic not being 2. |
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| Keywords: | preserving involutory matrix upper triangular matrices function |
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