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Eurasian Mathematical Journal, 2021, Volume 12, Number 2, Pages 52–58
DOI: https://doi.org/10.32523/2077-9879-2021-12-2-52-58 (Mi emj403) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Ranks for families of all theories of given languages

N. D. Markhabatova, S. V. Sudoplatovab

a Department of Applied Mathematics and Computer Science, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073, Novosibirsk, Russia
b Laboratory of Logic Systems, Sobolev Institute of Mathematics SB RAS, 4 Academician Koptyug Avenue, 630090, Novosibirsk, Russia
Full-text PDF (394 kB) Citations (9)
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DOI: https://doi.org/10.32523/2077-9879-2021-12-2-52-58
Abstract: For families of all theories of arbitrary given languages we describe ranks and degrees. In particular, we characterize (non-)totally transcendental families. We apply these characterizations for the families of all theories of given languages, with models of given finite or infinite cardinality.
Keywords and phrases: family of theories, rank, degree.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855497
Siberian Branch of Russian Academy of Sciences I.1.1, project No. 0314-2019-0002
Russian Foundation for Basic Research 20-31-90003
This research was partially supported by the Committee of Science of the Ministry of the Education and Science of the Republic of Kazakhstan (Grants No. AP08855497) and the Programme of fundamental scientific research of the SB RAS No. I.1.1, project No. 0314-2019-0002 and Russian Foundation for Basic Researches (Grant No. 20-31-90003).
Received: 15.12.2019
Bibliographic databases:
Document Type: Article
MSC: 03C30, 03C15, 03C50, 54A05
Language: English
Citation: N. D. Markhabatov, S. V. Sudoplatov, “Ranks for families of all theories of given languages”, Eurasian Math. J., 12:2 (2021), 52–58
Citation in format AMSBIB
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\by N.~D.~Markhabatov, S.~V.~Sudoplatov
\paper Ranks for families of all theories of given languages
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 2
\pages 52--58
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\crossref{https://doi.org/10.32523/2077-9879-2021-12-2-52-58}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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