| 剩余类环上的置换多项式 |
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| 引用本文： | 刘哲,黄晓红,潘江敏.剩余类环上的置换多项式[J].云南大学学报(自然科学版),2009,31(1):1. |
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| 作者姓名： | 刘哲 黄晓红 潘江敏 |
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| 作者单位： | 云南大学, 数学系, 云南 昆明, 650091 |
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| 摘 要： | 研究了一类典型的多元奇异多项式,得到了其为置换多项式的充要条件,推广了张起帆的结果.此外,得到了多项式为模3ω的置换多项式的充要条件,从而发展了Revest的结果.
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| 关 键 词： | 置换多项式 正交组 剩余类环 |
| 收稿时间： | 2008-4-7 |
Permutation polynomials over residue class rings |
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| LIU Zhe,HUANG Xiao-hong,PAN Jiang-min.Permutation polynomials over residue class rings[J].Journal of Yunnan University(Natural Sciences),2009,31(1):1. |
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| Authors: | LIU Zhe HUANG Xiao-hong PAN Jiang-min |
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| Institution: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | A class of typical singular polynomials in several indeterminates is studied,and a necessary and sufficient condition for such polynomials to be permutation polynomials is obtained,which generalizes Zhang's result on the subject.Moreover,a necessary and sufficient condition for a polynomial in one indeterminate to be a permutation polynomial modulo 3ω is proved,which develops Revest's result. |
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