Polynomial functions on finite commutative rings

Abstract

Every function on a nite residue class ring D=I of a Dedekind domain D is induced by an integer-valued polynomial on D that preserves congruences mod I if and only if I is a power of a prime ideal. If R is a nite commutative local ring with maximal ideal P of nilpotency N satisfying for all a; b 2 R, if ab 2 Pn then a 2 P k , b 2 P j with k + j min(n;N), we… (More)

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Cite this paper

@inproceedings{Frisch2007PolynomialFO, title={Polynomial functions on finite commutative rings}, author={Sophie Frisch}, year={2007} }