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Algebras of binary formulas for weakly circularly minimal theories with non-trivial definable closure Full article

Journal Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962
Output data Year: 2022, Volume: 43, Number: 12, Pages: 126-134 Pages count : 9 DOI: 10.1134/S199508022215015X
Tags algebra of binary formulas, countably categorical theory, weak circular minimality, circularly ordered structure, automorphism group, convexity rank.
Authors Kulpeshov B.Sh. 1,2 , Sudoplatov S.V. 2,3
Affiliations
1 Kazakh-British Technical University, Almaty, 050000 Kazakhstan
2 Novosibirsk State Technical University, Novosibirsk, 630073 Russia
3 Sobolev Institute of Mathematics SB RAS, Novosibirsk,630090 Russia

Funding (1)

1 Russian Science Foundation 22-21-00044

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.
Cite: Kulpeshov B.S. , Sudoplatov S.V.
Algebras of binary formulas for weakly circularly minimal theories with non-trivial definable closure
Lobachevskii Journal of Mathematics. 2022. V.43. N12. P.126-134. DOI: 10.1134/S199508022215015X WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Jun 22, 2022
Accepted: Aug 10, 2022
Published print: Mar 17, 2023
Published online: Mar 17, 2023
Identifiers:
Web of science: WOS:000953737000015
Scopus: 2-s2.0-85159939154
Elibrary: 50767201
OpenAlex: W4327798536
Citing:
DB Citing
Web of science 4
Scopus 4
OpenAlex 2
Elibrary 5
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