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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 135–150
DOI: https://doi.org/10.17377/semi.2017.14.014 (Mi semr773) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Mathematical logic, algebra and number theory

Combinations related to classes of finite and countably categorical structures and their theories

S. V. Sudoplatovabcd

a Sobolev Institute of Mathematics, Academician Koptyug avenue, 4, 630090, Novosibirsk, Russia
b Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
c Institute of Mathematics and Mathematical Modeling, Pushkina Street, 125, 050010, Almaty, Kazakhstan
d Novosibirsk State University, Pirogova street, 1, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.014
Abstract: We consider and characterize classes of finite and countably categorical structures and their theories preserved under $E$-operators and $P$-operators. We describe $e$-spectra and families of finite cardinalities for structures belonging to closures with respect to $E$-operators and $P$-operators.
Keywords: finite structure, countably categorical structure, elementary theory, $E$-operator, $P$-operator, $e$-spectrum.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-6848.2016.1
Ministry of Education and Science of the Republic of Kazakhstan 0830/GF4
The research is partially supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-6848.2016.1) and by Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grant No. 0830/GF4).
Received January 31, 2017, published February 22, 2017
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C30, 03C15, 03C50, 54A05
Language: English
Citation: S. V. Sudoplatov, “Combinations related to classes of finite and countably categorical structures and their theories”, Sib. Èlektron. Mat. Izv., 14 (2017), 135–150
Citation in format AMSBIB
\Bibitem{Sud17}
\by S.~V.~Sudoplatov
\paper Combinations related to classes of finite and countably categorical structures and their theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 135--150
\mathnet{http://mi.mathnet.ru/semr773}
\crossref{https://doi.org/10.17377/semi.2017.14.014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200018}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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