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Matematicheskie Trudy, 2009, Volume 12, Number 1, Pages 117–129 (Mi mt176)  
This article is cited in 3 scientific papers (total in 3 papers)

Preservation and violation of homogeneity of models under a special expansion

K. Zh. Kudaibergenov

Department of Economics, KIMER, Almaty, Kazakhstan
Full-text PDF (191 kB) Citations (3)
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Abstract: Conditions are found under which homogeneity of a model $M$ implies homogeneity of the model $M^\mathrm{eq}$. One of these conditions is $\omega$-stability of the theory of $M$. Examples are constructed of superstable theories for which homogeneity is not preserved under such a passage.
Key words: homogeneous model, stable theory.
Received: 02.09.2008
English version:
Siberian Advances in Mathematics, 2009, Volume 19, Issue 4, Pages 268–276
DOI: https://doi.org/10.3103/S105513440904004X
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “Preservation and violation of homogeneity of models under a special expansion”, Mat. Tr., 12:1 (2009), 117–129; Siberian Adv. Math., 19:4 (2009), 268–276
Citation in format AMSBIB
\Bibitem{Kud09}
\by K.~Zh.~Kudaibergenov
\paper Preservation and violation of homogeneity of models under a~special expansion
\jour Mat. Tr.
\yr 2009
\vol 12
\issue 1
\pages 117--129
\mathnet{http://mi.mathnet.ru/mt176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2569649}
\transl
\jour Siberian Adv. Math.
\yr 2009
\vol 19
\issue 4
\pages 268--276
\crossref{https://doi.org/10.3103/S105513440904004X}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:276
    Full-text PDF :91
    References:60
    First page:4
     
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