Abstract <p>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.</p>

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Unoids with Finiteness Conditions over Computably Separable Equivalences

  • N. Kh. Kasymov

摘要

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.