| D ickson定理和H all定理的初等证明及二定理的等价性 |
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| 引用本文： | 郑千里,霍元极.D ickson定理和H all定理的初等证明及二定理的等价性[J].数学的实践与认识,2005,35(11):204-208. |
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| 作者姓名： | 郑千里 霍元极 |
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| 作者单位： | 1. 琼州大学数学系,五指山,572200
2. 海南软件职业技术学院,琼海,571400 |
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| 摘 要： | 论证了二定理的等价性,给出了H a ll定理的初等证明,展示出求得H a ll方程解的个数的可操作性.再利用二定理的等价性,又给出D ickson定理的初等证明.对求解D ickson方程解的个数,也有鲜明的可操作性.
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| 关 键 词： | 有限域 Dickson Hall |
| 修稿时间： | 2003年11月10 |
Elementary Proof of Dickson Theory and Hall Theory and Epuivalence of Two Theories |
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| ZHENG Qian-li,HUO Yuan-ji.Elementary Proof of Dickson Theory and Hall Theory and Epuivalence of Two Theories[J].Mathematics in Practice and Theory,2005,35(11):204-208. |
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| Authors: | ZHENG Qian-li HUO Yuan-ji |
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| Institution: | ZHENG Qian-li~1,HUO Yuan-ji~2 |
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| Abstract: | This paper have proved the equivalence of two theories and obtain the elementary proof of Hall theory.It appeared the operation of the numbers of all equation~1s solution.Using the equivalence of the two theories,it has obtained the elementary proof of Dicken theory and proved the operation of numbers of Dicken equation~1s solution. |
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| Keywords: | finite field Dickson Hall |
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