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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1064–1076 (Mi smj1350)  

This article is cited in 5 scientific papers (total in 6 papers)

Homogeneous models and stable diagrams

K. Zh. Kudaibergenov

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (232 kB) Citations (6)
Abstract: Some fragment is studied of stability theory in the category of $D$-sets. Conditions are given for existence of $D$-homogeneous models of however large power. A categoricity theorem is proven for the class of $(D,\lambda)$-homogeneous models.
Keywords: homogeneous model, stability theory, categoricity theorem.
Received: 23.02.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 858–867
DOI: https://doi.org/10.1023/A:1020102706719
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “Homogeneous models and stable diagrams”, Sibirsk. Mat. Zh., 43:5 (2002), 1064–1076; Siberian Math. J., 43:5 (2002), 858–867
Citation in format AMSBIB
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\by K.~Zh.~Kudaibergenov
\paper Homogeneous models and stable diagrams
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1064--1076
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946264}
\zmath{https://zbmath.org/?q=an:1018.03027}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 858--867
\crossref{https://doi.org/10.1023/A:1020102706719}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400008}
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  • https://www.mathnet.ru/eng/smj/v43/i5/p1064
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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