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Algebra i logika, 2021, Volume 60, Number 1, Pages 57–80
DOI: https://doi.org/10.33048/alglog.2021.60.104 (Mi al2649) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Topologies, ranks, and closures for families of theories. II

N. D. Markhabatova, S. V. Sudoplatovbac

a Novosibirsk State Technical University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
Full-text PDF (287 kB) Citations (4)
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DOI: https://doi.org/10.33048/alglog.2021.60.104
Abstract: We describe topological properties, ranks, and closures as well as their dynamics for families of theories. Closures for families of theories are introduced based on sentences of the given theories. We look at properties of these closures and establish their relationship with standard closures. Values of $e_1$-spectra, as well as conditions for the existence of least generating sets, are characterized. Closures for linearly ordered families of theories are examined.
Keywords: topology, rank, closure, family of theories.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855544
Russian Foundation for Basic Research 20-31-90003
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0002
Received: 22.05.2020
Revised: 31.05.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 1, Pages 38–52
DOI: https://doi.org/10.1007/s10469-021-09626-y
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: N. D. Markhabatov, S. V. Sudoplatov, “Topologies, ranks, and closures for families of theories. II”, Algebra Logika, 60:1 (2021), 57–80; Algebra and Logic, 60:1 (2021), 38–52
Citation in format AMSBIB
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\by N.~D.~Markhabatov, S.~V.~Sudoplatov
\paper Topologies, ranks, and closures for families of theories.~II
\jour Algebra Logika
\yr 2021
\vol 60
\issue 1
\pages 57--80
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\crossref{https://doi.org/10.33048/alglog.2021.60.104}
\transl
\jour Algebra and Logic
\yr 2021
\vol 60
\issue 1
\pages 38--52
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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