Geodesic
Description of the closed class of polynomial functions modulo a power of a prime number by a relation
Diskretnaya Matematika, Tome 35 (2023) no. 4, pp. 115-125

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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.
Keywords: function of multiple-valued logic, residue ring, polynomial, closed class, relation. 
@article{DM_2023_35_4_a6,
     author = {S. N. Selezneva},
     title = {Description of the closed class of polynomial functions modulo a power of a prime number by a relation},
     journal = {Diskretnaya Matematika},
     pages = {115--125},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2023_35_4_a6/}
}
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S. N. Selezneva. Description of the closed class of polynomial functions modulo a power of a prime number by a relation. Diskretnaya Matematika, Tome 35 (2023) no. 4, pp. 115-125. http://geodesic.mathdoc.fr/item/DM_2023_35_4_a6/