On Polynomial Functions over Finite Commutative Rings  

作　　者：Jian Jun JIANG Guo Hua PENG Qi SUN Qi Fan ZHANG 

机构地区：[1]College of Mathematics, Sichuan University, Chengdu 610064, P. R. China [2]Department of Basic Education, Tongling University, Tongling 244000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2006年第4期1047-1050,共4页数学学报（英文版）

基　　金：NSFC(No.10128103)

摘　　要：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.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.

关 键 词：Polynomial function Finite commutative local ring Generalized Witt polynomial 

分 类 号：O151[理学—数学]