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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}
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\jour Algebra and Logic
\yr 2016
\vol 55
\issue 3
\pages 226--241
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Linking options:
  • https://www.mathnet.ru/eng/al745
  • https://www.mathnet.ru/eng/al/v55/i3/p341
    • This publication is cited in the following 7 articles:
    1. B. Sh. Kulpeshov, “Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure”, Sib Math J, 65:2 (2024), 316  crossref
    2. B. Sh. Kulpeshov, “Algebry binarnykh formul dlya slabo tsiklicheski minimalnykh teorii s trivialnym opredelimym zamykaniem”, Sib. matem. zhurn., 65:2 (2024), 318–331  mathnet  crossref
    3. Beibut Kulpeshov, Sergey Sudoplatov, “On algebras of binary isolating formulas for weakly circularly minimal theoriesof convexity rank 2”, KMJ, 24:4 (2024), 6  crossref
    4. B. Sh. Kulpeshov, “Algebras of binary formulas for $\aleph_0$-categorical weakly circularly minimal theories: piecewise monotonic case”, Sib. elektron. matem. izv., 20:2 (2023), 824–832  mathnet  crossref
    5. B. Sh. Kulpeshov, S. V. Sudoplatov, “Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Non-Trivial Definable Closure”, Lobachevskii J Math, 43:12 (2022), 3532  crossref
    6. A. B. Altaeva, B. Sh. Kulpeshov, “Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures”, Math. Notes, 110:6 (2021), 813–829  mathnet  crossref  crossref  isi  elib
    7. B. S. Baizhanov, B. Sh. Kulpeshov, T. S. Zambarnaya, “A.D. Taimanov and model theory in Kazakhstan”, Sib. elektron. matem. izv., 17 (2020), 1–58  mathnet  crossref
    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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