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Matematicheskie Zametki, 2021, Volume 110, Issue 6, Pages 803–823
DOI: https://doi.org/10.4213/mzm13079 (Mi mzm13079) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures

A. B. Altaevaab, B. Sh. Kulpeshovcd

a Al-Farabi Kazakh National University
b Institute of Mathematics and Mathematical Modeling, Republic of Kazakhstan
c Kazakh-British Technical University
d Novosibirsk State Technical University
Full-text PDF (634 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm13079
Abstract: In the paper, we give a criterion for almost binarity of countably categorical not 1-transitive weakly circularly minimal structures in terms of the convexity rank.
Keywords: weak circular minimality, circularly ordered structure, weak o-minimality, convexity rank, countable categoricity.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855544
This work was supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grant no. AP08855544).
Received: 23.03.2021
Revised: 04.07.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 6, Pages 813–829
DOI: https://doi.org/10.1134/S0001434621110195
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: A. B. Altaeva, B. Sh. Kulpeshov, “Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures”, Mat. Zametki, 110:6 (2021), 803–823; Math. Notes, 110:6 (2021), 813–829
Citation in format AMSBIB
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\paper Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures
\jour Mat. Zametki
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\issue 6
\pages 803--823
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\crossref{https://doi.org/10.4213/mzm13079}
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\transl
\jour Math. Notes
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\pages 813--829
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  • https://doi.org/10.4213/mzm13079
  • https://www.mathnet.ru/eng/mzm/v110/i6/p803
    • This publication is cited in the following 5 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  mathscinet
    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 ℵ0-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  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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