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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 2, Pages 318–331
DOI: https://doi.org/10.33048/smzh.2024.65.207 (Mi smj7857) 		 
Algebras of binary formulas for weakly circularly minimal theories with trivial definable closure

B. Sh. Kulpeshovab

a Kazakh-British Technical University
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
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DOI: https://doi.org/10.33048/smzh.2024.65.207
Abstract: We describe the algebras of binary formulas for countably categorical weakly circularly minimal theories with 1-transitive nonprimitive automorphism group and trivial definable closure having convexity rank 1. We find some criterion for commutativity of the algebras.
Keywords: algebra of binary formulas, countably categorical theory, weak circular minimality, circularly ordered structure.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP19674850
Received: 23.11.2022
Revised: 15.05.2023
Accepted: 28.01.2024
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: B. Sh. Kulpeshov, “Algebras of binary formulas for weakly circularly minimal theories with trivial definable closure”, Sibirsk. Mat. Zh., 65:2 (2024), 318–331
Citation in format AMSBIB
\Bibitem{Kul24}
\by B.~Sh.~Kulpeshov
\paper Algebras of binary formulas for weakly circularly minimal theories with trivial definable closure
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 2
\pages 318--331
\mathnet{http://mi.mathnet.ru/smj7857}
\crossref{https://doi.org/10.33048/smzh.2024.65.207}
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