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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 824–832
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.049 (Mi semr1612) 		 
Mathematical logic, algebra and number theory

Algebras of binary formulas for $\aleph_0$-categorical weakly circularly minimal theories: piecewise monotonic case

B. Sh. Kulpeshovabc

a Institute of Mathematics and Mathematical Modeling, Shevchenko street, 28, 050010, Almaty, Kazakhstan
b Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
c Kazakh British Technical University, Tole bi street, 59, 050000, Almaty, Kazakhstan
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DOI: https://doi.org/doi.org/10.33048/semi.2023.20.049
Abstract: Algebras of binary isolating formulas are described for $\aleph_0$-categorical $1$-transitive non-primitive weakly circularly minimal theories of convexity rank greater than $1$ having a non-trivial piecewise (non-strictly) monotonic function.
Keywords: weak circular minimality, algebra of binary formulas, $\aleph_0$-categorical theory, circularly ordered structure, convexity rank.
Funding agency Grant number
Science Committee of Ministry of Science and Higher Education of the Republic of Kazakhstan BR20281002
The work was supported by Science Committee of Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant No. BR20281002).
Received July 17, 2023, published October 5, 2023
Document Type: Article
UDC: 510.67
MSC: 03C64
Language: English
Citation: B. Sh. Kulpeshov, “Algebras of binary formulas for $\aleph_0$-categorical weakly circularly minimal theories: piecewise monotonic case”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 824–832
Citation in format AMSBIB
\Bibitem{Kul23}
\by B.~Sh.~Kulpeshov
\paper Algebras of binary formulas for $\aleph_0$-categorical weakly circularly minimal theories: piecewise monotonic case
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 824--832
\mathnet{http://mi.mathnet.ru/semr1612}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.049}
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