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Matematicheskie Trudy, 2015, Volume 18, Number 2, Pages 39–48
DOI: https://doi.org/10.17377/mattrudy.2015.18.203 (Mi mt292) 		 
On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories

K. Zh. Kudaibergenov

School of General Education, KIMEP, Almaty, Kazakhstan
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DOI: https://doi.org/10.17377/mattrudy.2015.18.203
Abstract: We prove that o-minimality is not a model-theoretical property in the sense of Peretyat’kin. We also prove that existence of a prime models need not be preserved under a passage between mutually interpretable theories.
Key words: model-theoretical properties, mutually interpretable theories.
Received: 26.03.2015
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 3, Pages 190–195
DOI: https://doi.org/10.3103/S1055134416030032
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories”, Mat. Tr., 18:2 (2015), 39–48; Siberian Adv. Math., 26:3 (2016), 190–195
Citation in format AMSBIB
\Bibitem{Kud15}
\by K.~Zh.~Kudaibergenov
\paper On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 2
\pages 39--48
\mathnet{http://mi.mathnet.ru/mt292}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588290}
\elib{https://elibrary.ru/item.asp?id=24639778}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 3
\pages 190--195
\crossref{https://doi.org/10.3103/S1055134416030032}
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