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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 715–725
DOI: https://doi.org/10.33048/semi.2020.17.049 (Mi semr1244) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Mathematical logic, algebra and number theory

Approximations of theories

S. V. Sudoplatovabc

a Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia
b Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.049
Abstract: We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with finitely axiomatizable theories and minimal generating sets of theories as well as their $e$-spectra are found. $e$-categorical approximating families are introduced and characterized.
Keywords: approximation of theory, combination of structures, closure, finitely axiomatizable theory, $e$-spectrum.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
Siberian Branch of Russian Academy of Sciences I.1.1, project № 0314-2019-0002
This research was partially supported by the program of fundamental scientific researches of the SB RAS No. I.1.1, project No. 0314-2019-0002, and Committee of Science in Education and Science Ministry of the Republic of Kazakhstan (Grant No. AP05132546).
Received April 20, 2020, published May 22, 2020
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C30, 03C15, 03C50, 54A05
Language: Russian
Citation: S. V. Sudoplatov, “Approximations of theories”, Sib. Èlektron. Mat. Izv., 17 (2020), 715–725
Citation in format AMSBIB
\Bibitem{Sud20}
\by S.~V.~Sudoplatov
\paper Approximations of theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 715--725
\mathnet{http://mi.mathnet.ru/semr1244}
\crossref{https://doi.org/10.33048/semi.2020.17.049}
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