Relational Description of a Closed Class of Polynomial Functions Modulo a Squared Prime

S. N. Selezneva

Lomonosov Moscow State University

Abstract: A closed class of polynomial functions of multivalued logic is investigated, where the value of the logic is equal to the square of a prime number. Relations describing this closed class are obtained in an explicit form.

Keywords: multivalued logic function, residue ring, polynomial, closed class, relation.

UDC: 519.716+519.716.5

MSC: 03B50, 08A40, 06A15

Received: 24.06.2024
Revised: 10.09.2024

DOI: 10.4213/mzm14424

 English version: Mathematical Notes, 2025, 118:4, 836–847

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