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This article is cited in 12 scientific papers (total in 13 papers)
Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures
D. Yu. Emel'yanovab, B. Sh. Kulpeshovcb, S. V. Sudoplatovdeab a Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science RK, ul. Pushkina 125, Alma-Ata,
050010 Kazakhstan
c International Information Technologies University, Manas str. 34A/Zhandosov str. 8A, Alma-Ata, 050040 Kazakhstan
d Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
e Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630073 Russia
Abstract:
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 ominimal theories is characterized in terms of convexity rank.
Keywords:
countably categorical weakly $o$-minimal theory, convexity rank, algebra of distributions for binary isolating formulas, generalized commutative monoid.
Received: 03.04.2015
Citation:
D. Yu. Emel'yanov, B. Sh. Kulpeshov, S. V. Sudoplatov, “Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures”, Algebra Logika, 56:1 (2017), 20–54; Algebra and Logic, 56:1 (2017), 13–36
Linking options:
https://www.mathnet.ru/eng/al777 https://www.mathnet.ru/eng/al/v56/i1/p20
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