Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 649–661 (Mi smj2115)  
This article is cited in 5 scientific papers (total in 5 papers)

$\Sigma$-definability of uncountable models of $c$-simple theories

A. I. Stukachevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Full-text PDF (357 kB) Citations (5)
References:
PDF
HTML
Abstract: We show that each $c$-simple theory with an additional discreteness condition has an uncountable model $\Sigma$-definable in $\mathbb{HF}(\mathbb L)$, where $\mathbb L$ is a dense linear order. From this we establish the same for all $c$-simple theories of finite signature that are submodel complete.
Keywords: computable theory, model theory, constructive model, admissible set.
Received: 08.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 515–524
DOI: https://doi.org/10.1007/s11202-010-0054-z
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: A. I. Stukachev, “$\Sigma$-definability of uncountable models of $c$-simple theories”, Sibirsk. Mat. Zh., 51:3 (2010), 649–661; Siberian Math. J., 51:3 (2010), 515–524
Citation in format AMSBIB
\Bibitem{Stu10}
\by A.~I.~Stukachev
\paper $\Sigma$-definability of uncountable models of $c$-simple theories
\jour Sibirsk. Mat. Zh.
\yr 2010
\vol 51
\issue 3
\pages 649--661
\mathnet{http://mi.mathnet.ru/smj2115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2722678}
\zmath{https://zbmath.org/?q=an:1209.03030}
\transl
\jour Siberian Math. J.
\yr 2010
\vol 51
\issue 3
\pages 515--524
\crossref{https://doi.org/10.1007/s11202-010-0054-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279087500016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953976351}
Linking options:
  • https://www.mathnet.ru/eng/smj2115
  • https://www.mathnet.ru/eng/smj/v51/i3/p649
    • This publication is cited in the following 5 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025