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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2023 Volume 24, Issue 1, Pages 15–26 (Mi cheb1279)

Congruences of a free unar

K. V. Budiyanskayaa, I. B. Kozhukhovbc

a “East-West Technologies” LTD (Moscow)
b NRU “MIET” (Moscow)
c Lomonosov Moscow State University (Moscow)

Abstract: We obtain a complete description of all congruences of a free unar with arbitrary set of free generators. Namely, every congruence is characterized uniquely by a collection of parameters which are either non-negative integers or the symbol $\infty$; the restrictions on the parameters are formulated.

Keywords: act over senigroup, unar, congruence.

UDC: 512.534.32 + 512.577 + 512.567.5

Received: 07.02.2023
Accepted: 24.04.2023

DOI: 10.22405/2226-8383-2023-24-1-15-26



© Steklov Math. Inst. of RAS, 2024