Description of the closed class of polynomial functions modulo a power of a prime number by a relation

S. N. Selezneva

Diskretnaya Matematika, Tome 35 (2023) no. 4, pp. 115-125.

Résumé

The closed class $\operatorname{Pol}_{p^m}$ of polynomial modulo $p^m$ functions of $p^m$-valued logic are examined where $p$ is a prime number, $1 \leqslant m \leqslant p$. Characterizations of polynomiality modulo $p^m$ are found for functions of $p^m$-valued logic. A relation describing the class $\operatorname{Pol}_{p^m}$ is obtained in explicit form.

Détail

Keywords: function of multiple-valued logic, residue ring, polynomial, closed class, relation.

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