Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Non-Trivial Definable Closure
Kulpeshov B.S. Sudoplatov S.V.
December 2022Pleiades Publishing
Lobachevskii Journal of Mathematics
2022#43Issue 123532 - 3540 pp.
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.
algebra of binary formulas , automorphism group , circularly ordered structure , convexity rank , countably categorical theory , weak circular minimality
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Kazakh-British Technical University, Almaty, 050000, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
Kazakh-British Technical University
Novosibirsk State Technical University
Sobolev Institute of Mathematics
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