On unars with identities in congruence lattice, II
https://doi.org/10.22405/2226-8383-2025-26-3-125-135
Abstract
We prove that if a congruence lattice of a unar satisfies a non-trivial lattice identity, then the unar is a homomorphic image of a coproduct of finite number of lines and rays, which, in turn, is equivalent to the fact that the unar has only a finite number of connected components, knots, initial elements, and input degree of each element of the unar is finite.
About the Authors
Igor Borisovich Kozhukhov
National Research University MIET; Lomonosov Moscow State University; The Russian Presidential Academy of National Economy and Public Administration
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
Alexey Mikhailovich Pryanichnikov
Lomonosov Moscow State University, «Kvantom» LLC
Russian Federation
Russian Federation
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Review
For citations:
Kozhukhov I.B., Pryanichnikov A.M. On unars with identities in congruence lattice, II. Chebyshevskii Sbornik. 2025;26(3):125-135. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-3-125-135
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