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Algebra i logika, 2016, Volume 55, Number 3, Pages 341–365
DOI: https://doi.org/10.17377/alglog.2016.55.304 (Mi al745) 		 
This article is cited in 6 scientific papers (total in 7 papers)

Binary formulas in countably categorical weakly circularly minimal structures

B. Sh. Kulpeshova, A. B. Altaevab

a International Information Technologies University, Manas str. 34A/Zhandosov str. 8A, Alma-Ata, 050040 Kazakhstan
b Institute of Informatics and Control, ul. Pushkina 125, Alma-Ata, 050010 Kazakhstan
Full-text PDF (222 kB) Citations (7)
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DOI: https://doi.org/10.17377/alglog.2016.55.304
Abstract: Countably categorical weakly circularly minimal structures that are not $1$-transitive are studied. We give a characterization of the behavior of binary formulas acting on a set of realizations of a nonalgebraic $1$-type, and based on it, we present a complete description of countably categorical non-$1$-transitive weakly circularly minimal $n$-convex ($n>1$) almost binary theories of convexity rank $1$.
Keywords: circularly ordered structure, weak circular minimality, countable categoricity, convexity rank.
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: 28.12.2014
English version:
Algebra and Logic, 2016, Volume 55, Issue 3, Pages 226–241
DOI: https://doi.org/10.1007/s10469-016-9391-8
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: B. Sh. Kulpeshov, A. B. Altaeva, “Binary formulas in countably categorical weakly circularly minimal structures”, Algebra Logika, 55:3 (2016), 341–365; Algebra and Logic, 55:3 (2016), 226–241
Citation in format AMSBIB
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\by B.~Sh.~Kulpeshov, A.~B.~Altaeva
\paper Binary formulas in countably categorical weakly circularly minimal structures
\jour Algebra Logika
\yr 2016
\vol 55
\issue 3
\pages 341--365
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\crossref{https://doi.org/10.17377/alglog.2016.55.304}
\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 3
\pages 226--241
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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