B. Sh. Kulpeshov, “Algebras of binary formulas for <nobr>$\aleph_0$</nobr>-categorical weakly circularly minimal theories: piecewise monotonic case”, Sib. Èlektron. Mat. Izv., 2023, Volume 20, Issue 2,Pages <nobr>824

Mathematical logic, algebra and number theory

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

B. Sh. Kulpeshov^abc

^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

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.

UDC: 510.67

MSC: 03C64

Received July 17, 2023, published October 5, 2023

Language: English

DOI: doi.org/10.33048/semi.2023.20.049