Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 4, Pages 13–16
DOI: https://doi.org/10.17377/PAM.2016.16.402 (Mi vngu417) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Some properties of elementary embeddability in the model theory

M. I. Bekenov

L. N. Gumilev Eurasian National University, Astana
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DOI: https://doi.org/10.17377/PAM.2016.16.402
Abstract: It is known that isomorphism implies elementary embeddability, and elementary embeddability implies elementary equivalence. Both converse statements are wrong. These three relationships in the class of models of some theory $T$ of a countable language $L$ of first order are considered.
Keywords: model theory, isomorphism, elementary embeddability, elementary equivalence.
Received: 29.03.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 230, Issue 1, Pages 10–13
DOI: https://doi.org/10.1007/s10958-018-3721-4
Document Type: Article
UDC: 510.67
Language: Russian
Citation: M. I. Bekenov, “Some properties of elementary embeddability in the model theory”, Sib. J. Pure and Appl. Math., 16:4 (2016), 13–16; J. Math. Sci., 230:1 (2018), 10–13
Citation in format AMSBIB
\Bibitem{Bek16}
\by M.~I.~Bekenov
\paper Some properties of elementary embeddability in the model theory
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 4
\pages 13--16
\mathnet{http://mi.mathnet.ru/vngu417}
\crossref{https://doi.org/10.17377/PAM.2016.16.402}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 1
\pages 10--13
\crossref{https://doi.org/10.1007/s10958-018-3721-4}
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