B. Sh. Kulpeshov, “Algebras of binary formulas for $\aleph_0$-categorical weakly circularly minimal theories: piecewise monotonic case”, Сиб. электрон. матем. изв., 2023, том 20, выпуск 2,страницы 824

Математическая логика, алгебра и теория чисел

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

Аннотация: 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.

Ключевые слова: weak circular minimality, algebra of binary formulas, $\aleph_0$-categorical theory, circularly ordered structure, convexity rank.

УДК: 510.67

MSC: 03C64

Поступила 17 июля 2023 г., опубликована 5 октября 2023 г.

Язык публикации: английский

DOI: doi.org/10.33048/semi.2023.20.049