Congruence preserving functions in the residue class rings of polynomials over finite fields
Number Theory
2019-10-22 v2
Abstract
In this paper, as an analogue of the integer case, we define congruence preserving functions over the residue class rings of polynomials over finite fields. We establish a counting formula for such congruence preserving functions, determine a necessary and sufficient condition under which all congruence preserving functions are also polynomial functions, and characterize such functions.
Keywords
Cite
@article{arxiv.1807.02379,
title = {Congruence preserving functions in the residue class rings of polynomials over finite fields},
author = {Xiumei Li and Min Sha},
journal= {arXiv preprint arXiv:1807.02379},
year = {2019}
}
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