Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (215 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/adm81
  • https://www.mathnet.ru/eng/adm/v14/i1/p14
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024