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Eurasian Mathematical Journal, 2018, Volume 9, Number 4, Pages 68–78
DOI: https://doi.org/10.32523/2077-9879-2018-9-4-68-78 (Mi emj312) 		 
This article is cited in 3 scientific papers (total in 4 papers)

On relative separability in hypergraphs of models of theories

B. Sh. Kulpeshova, S. V. Sudoplatovbcd

a Department of Mathematical and Computer Modeling, International Information Technology University, 34/1 Manas St, 050040 Almaty, Kazakhstan
b Laboratory of Logic Systems, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
c Department of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073 Novosibirsk, Russia
d Department of Algebra and Mathematical Logic, Novosibirsk State University, 1 Pirogov St, 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.32523/2077-9879-2018-9-4-68-78
Abstract: In the paper, notions of relative separability for hypergraphs of models of a theory are defined. Properties of these notions and applications to ordered theories are studied: characterizations of relative separability both in a general case and for almost $\omega$-categorical quite $o$-minimal theories are established.
Keywords and phrases: hypergraph of models, elementary theory, separability, relative separability, quite $o$-minimal theory.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
Russian Foundation for Basic Research 17-01-00531_a
This research was partially supported by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP05132546) and the Russian Foundation for Basic Research (Project No. 17-01-00531-a).
Received: 07.02.2018
Bibliographic databases:
Document Type: Article
MSC: 03C50, 03C64, 03C35, 05C65, 54A05
Language: English
Citation: B. Sh. Kulpeshov, S. V. Sudoplatov, “On relative separability in hypergraphs of models of theories”, Eurasian Math. J., 9:4 (2018), 68–78
Citation in format AMSBIB
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\by B.~Sh.~Kulpeshov, S.~V.~Sudoplatov
\paper On relative separability in hypergraphs of models of theories
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 4
\pages 68--78
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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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