Amr Ali Abdulkader Al-Maktry

Polynomial functions of the ring $\mathbb{Z}_m[\alpha]$ of dual numbers modulo $m$

2019 · arXiv (Cornell University)

For any ring $R$, the dual numbers ring over $R$ is $R[\alpha] = R[x]/(x^2)$. We characterize when a polynomial $f\in R[\alpha][x]$ is a null polynomial or a permutation polynomial on $R[\alpha]$ in terms of the …