Unoids with Finiteness Conditions over Computably Separable Equivalences

The paper proves that every co-infinite set is a characteristic transversal for a some computably separable equivalence, over which only locally finite, locally finitely separable and residually finite unary algebras are representable. Similar properties for uniformly computably separable equivalences are considered.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-04-01
DOI
https://doi.org/10.1134/s1995080225606101
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Unoids with Finiteness Conditions over Computably Separable Equivalences

N. Kh. Kasymov
Lobachevskii Journal of Mathematics
Computability, Logic, AI Algorithms
article

Unoids with Finiteness Conditions over Computably Separable Equivalences

N. Kh. Kasymov
article en

Abstract

The paper proves that every co-infinite set is a characteristic transversal for a some computably separable equivalence, over which only locally finite, locally finitely separable and residually finite unary algebras are representable. Similar properties for uniformly computably separable equivalences are considered.

Lobachevskii Journal of MathematicsVol. 46(4)
National University of Uzbekistan (UZ)
Reduced inequalities
Openalex Percentile: Top 77%
Computability, Logic, AI Algorithms
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Unoids with Finiteness Conditions over Computably Separable Equivalences — N. Kh. Kasymov · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS