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Matematicheskie Trudy, 2000, Volume 3, Number 2, Pages 111–128 (Mi mt168)  
This article is cited in 2 scientific papers (total in 2 papers)

On Atomic Models

K. Zh. Kudaibergenov

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan
Full-text PDF (309 kB) Citations (2)
Abstract: The problem is studied of existence of an atomic model over a set. Several conditions are specified under which density of the principal types over a set implies existence of a prime atomic model over this set. An example is constructed demonstrating that density of the principal types over a set does not in general imply existence of an atomic model over this set.
Key words: atomic model, prime model, superstable theory, locally modular theory of finite rank.
Received: 19.03.1999
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “On Atomic Models”, Mat. Tr., 3:2 (2000), 111–128; Siberian Adv. Math., 10:4 (2000), 105–121
Citation in format AMSBIB
\Bibitem{Kud00}
\by K.~Zh.~Kudaibergenov
\paper On Atomic Models
\jour Mat. Tr.
\yr 2000
\vol 3
\issue 2
\pages 111--128
\mathnet{http://mi.mathnet.ru/mt168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1806284}
\zmath{https://zbmath.org/?q=an:0987.03035|0966.03036}
\transl
\jour Siberian Adv. Math.
\yr 2000
\vol 10
\issue 4
\pages 105--121
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  • https://www.mathnet.ru/eng/mt/v3/i2/p111
    • This publication is cited in the following 2 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:267
    Full-text PDF :70
    First page:1
     
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