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Article · Lobachevskii Journal of Mathematics · December 1, 2022

Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Non-Trivial Definable Closure

B. Sh. Kulpeshov, Sergey Vladimirovich Sudoplatov

Abstract

Abstract Algebras of binary isolating formulas are described for countably categorical weakly circularly minimal theories of convexity rank 1 with a 1-transitive non-primitive automorphism group and a non-trivial definable closure. A criterion for commutativity of such algebras is found.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicmodel theory

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