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Algebra i logika, 2004, Volume 43, Number 1, Pages 110–124 (Mi al59)  
This article is cited in 25 scientific papers (total in 25 papers)

Complete Theories with Finitely Many Countable Models. I

S. V. Sudoplatov

Novosibirsk State Technical University
Full-text PDF (193 kB) Citations (25)
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Abstract: A syntactic characterization is furnished for the class of elementary complete theories with finitely many countable models, which is the analog of a known theorem by Ryll-Nardzewski on countably categorical theories, and is based on classifying the theories by Rudin–Keisler quasiorders and distribution functions of a number of models limit over types.
Keywords: elementary complete theory, countable model, Rudin–Keisler quasiorder.
Received: 24.10.2001
Revised: 24.04.2002
English version:
Algebra and Logic, 2004, Volume 43, Issue 1, Pages 62–69
DOI: https://doi.org/10.1023/B:ALLO.0000015131.41218.f4
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: S. V. Sudoplatov, “Complete Theories with Finitely Many Countable Models. I”, Algebra Logika, 43:1 (2004), 110–124; Algebra and Logic, 43:1 (2004), 62–69
Citation in format AMSBIB
\Bibitem{Sud04}
\by S.~V.~Sudoplatov
\paper Complete Theories with Finitely Many Countable Models.~I
\jour Algebra Logika
\yr 2004
\vol 43
\issue 1
\pages 110--124
\mathnet{http://mi.mathnet.ru/al59}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2073447}
\zmath{https://zbmath.org/?q=an:1115.03024}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 1
\pages 62--69
\crossref{https://doi.org/10.1023/B:ALLO.0000015131.41218.f4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745607266}
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    Cycle of papers
    This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:534
    Full-text PDF :199
    References:67
    First page:1
     
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