| On Polynomial Functions over Finite Commutative Rings |
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| 作者姓名： | Jian Jun JIANG Guo Hua PENG Qi SUN Qi Fan ZHANG |
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| 作者单位： | [1]College of Mathematics, Sichuan University, Chengdu 610064, P. R. China [2]Department of Basic Education, Tongling University, Tongling 244000, P. R. China |
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| 基金项目： | This work is supported by NSFC （No. 10128103） Acknowledgements The authors would like to thank ：Professor Qifan Zhang for his helpful suggestions. |
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| 摘 要： |
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| 关 键 词： | 多项式函数 有限可交换局部环 广义Witt多项式 充分条件 |
| 收稿时间： | 2003-11-25 |
| 修稿时间： | 2003-11-252004-02-09 |
On Polynomial Functions over Finite Commutative Rings |
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| Jian Jun JIANG Guo Hua PENG Qi SUN Qi Fan ZHANG.On Polynomial Functions over Finite Commutative Rings[J].Acta Mathematica Sinica,2006,22(4):1047-1050. |
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| Authors: | Jian Jun Jiang Guo Hua Peng Qi Sun Qi Fan Zhang |
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| Institution: | (1) College of Mathematics, Sichuan University, Chengdu 610064, P. R. China;(2) College of Science, Southwest University of Science and Technology, Mianyang 621010, P. R. China;(3) College of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | Let R be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over R to be a polynomial function. Before this paper, necessary and sufficient conditions for a function to be a polynomial function over some special finite commutative local rings were obtained. |
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| Keywords: | Polynomial function Finite commutative local ring Generalized Witt polynomial |
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