Permutation polynomials in several variables over residue class rings

Journal of the Australian Mathematical Society

H. K. Kaiser¹ 

[1] W. Nöbauer

关键词: 13 B 25;   

DOI  :  10.1017/S144678870002930X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The concept of a permutation polynomial function over a commutative ring with 1 can be generalized to multiplace functions in two different ways, yielding the notion of a k-ary permutation polynomial function (k > 1, k ∈ N) and the notion of a strict k-ary permutation polynomial function respectively. It is shown that in the case of a residue class ring Zm of the integers these two notions coincide if and only if m is squarefree.

【 授权许可】

Unknown