Algebras of Distributions of Binary Isolating Formulas for Almost ω-Categorical Weakly o-Minimal Theories

Altayeva A.B. Kulpeshov B.S. Sudoplatov S.V.
September 2021 Springer

Algebra and Logic
2021 #60 Issue 4 241 - 262 pp.

We describe distribution algebras of binary isolating formulas over 1-type for almost ω-categorical weakly o-minimal theories. It is proved that an isomorphism of these algebras for two 1-types is characterized by the coincidence of binary convexity ranks, as well as by the simultaneous fulfillment of isolation, quasirationality or irrationality of the two types. A criterion is established for an algebra of formulas over a pair of not weakly orthogonal 1-types to be generalized commutative for almost ω-categorical weakly o-minimal theories.

algebra of distributions of binary isolating formulas , ω-categorical weakly o-minimal theory

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Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK, Al-Farabi Kazakh National University, Alma-Ata, Kazakhstan
Kazakh-British Technical University, Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK, Alma-Ata, Kazakhstan
Sobolev Institute of Mathematics, Novosibirsk State Technical University. Novosibirsk State University, Novosibirsk, Russian Federation

Institute of Mathematics and Mathematical Modeling
Kazakh-British Technical University
Sobolev Institute of Mathematics

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