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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 1, Pages 14–28 (Mi adm81)  
This article is cited in 1 scientific paper (total in 1 paper)

SURVEY ARTICLE

Local embeddability

Oleg Belegradek

Department of Mathematics, Istanbul Bilgi University, Hacıahmet Mahallesi, Pir Hüsamettin Sokak, No: 20, Dolapdere 34440, Beyoğlu, Istanbul, Turkey
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Abstract: For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik and Gordon. We give various model-theoretic characterizations of such structures. Some of them generalize known group-theoretic results.
Keywords: local embeddability, universal theory, ultraproduct, limit structure.
Received: 10.06.2012
Accepted: 10.06.2012
Bibliographic databases:
Document Type: Article
MSC: 03C60, 20A15
Language: English
Citation: Oleg Belegradek, “Local embeddability”, Algebra Discrete Math., 14:1 (2012), 14–28
Citation in format AMSBIB
\Bibitem{Bel12}
\by Oleg~Belegradek
\paper Local embeddability
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 1
\pages 14--28
\mathnet{http://mi.mathnet.ru/adm81}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3052318}
\zmath{https://zbmath.org/?q=an:1328.03038}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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