| 有限域上的一类线性空间的注记 |
| |
| 引用本文： | 王自全.有限域上的一类线性空间的注记[J].重庆三峡学院学报,1999(1). |
| |
| 作者姓名： | 王自全 |
| |
| 摘 要： | 本文从线性代数的理论出发讨论有限域上的一类向量空间。首先得出，有限域F上的血量空间V上的任何线性变换在其F的一个代数扩域（非代数闭域）上都存在特征值；其次给出．有限域F上的一类域空间上的一类线性交换的表示；最后讨论了特征p≠2的有限域F上的内积空间的一些性质。
|
| 关 键 词： | 域 域空间 线性变换 线性变换的矩阵。 |
NOTES ABOUT A CLASS OF LINEAR SPACE ON FINITE FIELD |
| |
| Wang ziquan.NOTES ABOUT A CLASS OF LINEAR SPACE ON FINITE FIELD[J].JOurnal of Chongqing Three Gorges University,1999(1). |
| |
| Authors: | Wang ziquan |
| |
| Institution: | Department of Computer Sichuan Three Gorgesinstitute Chongqing Wanxian 404000 |
| |
| Abstract: | In this paper, we discuss a class of linear space on finite fields by the theory of linear algebra.First, it is obtained that there are eigenvaluse in extension field of finite degree of finite field F about every linear transformation of finite dimensional linear space V on finite field F, and the extension field is not algebraic closure fiels. Second, it is gained that a theorem describe the representation of a class of linear transformation about a class of fiels space on finite fiels. Finally, it discuss some properties of inner product on finite fields with characteristic p=2. |
| |
| Keywords: | Field Field space Liear Transformation Matrix of A Linear Transformation |
| 本文献已被 CNKI 等数据库收录！ |
