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Algebra i logika, 2017, Volume 56, Number 1, Pages 20–54
DOI: https://doi.org/10.17377/alglog.2017.56.102 (Mi al777) 		 
This article is cited in 14 scientific papers (total in 15 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
Full-text PDF (280 kB) Citations (15) English version article
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DOI: https://doi.org/10.17377/alglog.2017.56.102
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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0830/ГФ4
Supported by KN MON RK, project No. 0830/GF4.
Received: 03.04.2015
English version:
Algebra and Logic, 2017, Volume 56, Issue 1, Pages 13–36
DOI: https://doi.org/10.1007/s10469-017-9424-y
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
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
Citation in format AMSBIB
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\paper Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures
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\issue 1
\pages 20--54
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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