Permutation polynomials in several variables over residue class rings

Author:

Kaiser H. K.,Nöbauer W.

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference3 articles.

1. Darstellung von Permutationen durch Polynome und rationale Funktionen;Nöbauer;Berichte des Math. Forschungsinst. Oberwolfach,1971

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