Polynomial functions on rings of dual numbers over residue class rings of the integers

H. Al-Ezeh, A. A. Al-Maktry, S. Frisch

The ring of dual numbers over a ring $R$ is $R[\alpha ]=R[x]/(x^2)$, where $\alpha$ denotes $x+(x^2)$. For any finite commutative ring $R$, we characterize null polynomials and permutation…