Algebras of Distributions for Binary Formulas in Countably Categorical Weakly o-Minimal Structures


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Abstract

Algebras of distributions for binary isolating formulas, generalized commutative monoid. Algebras of distributions for binary isolating formulas over a type for countably categorical weakly o-minimal theories are described, and the generalized commutative property of an algebra of distributions for binary isolating formulas over a pair of types for countably categorical weakly o-minimal theories is characterized in terms of convexity rank.

About the authors

D. Yu. Emel’yanov

Novosibirsk State University; Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK

Author for correspondence.
Email: dima-pavlyk@mail.ru
Russian Federation, ul. Pirogova 1, Novosibirsk, 630090; ul. Pushkina 125, Alma-Ata, 050010

B. Sh. Kulpeshov

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK; International Information Technologies University

Email: dima-pavlyk@mail.ru
Kazakhstan, ul. Pushkina 125, Alma-Ata, 050010; Manas str. 34A/Zhandosov str. 8A, Alma-Ata, 050040

S. V. Sudoplatov

Novosibirsk State University; Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK; Sobolev Institute of Mathematics; Novosibirsk State Technical University

Email: dima-pavlyk@mail.ru
Russian Federation, ul. Pirogova 1, Novosibirsk, 630090; ul. Pushkina 125, Alma-Ata, 050010; pr. Akad. Koptyuga 4, Novosibirsk, 630090; pr. Marksa 20, Novosibirsk, 630073

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