Algebra i logika
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 Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2012, Volume 51, Number 3, Pages 358–384 (Mi al540)  
This article is cited in 1 scientific paper (total in 1 paper)

Countably categorical theories

V. G. Puzarenkoab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (286 kB) Citations (1)
References:
PDF
HTML
Abstract: A series of countably categorical theories are constructed based on the Fraisse method. In particular, an example of a decidable countably categorical theory of finite signature is given for which no decidable model has an infinite computable set of order-indiscernible elements. Such a theory is used to refute Ershov's conjecture on the representability of models of $c$-simple theories over linear orders.
Keywords: countably categorical theory, Fraisse method, decidable theory, decidable model, linear order.
Received: 20.04.2011
Revised: 18.01.2012
English version:
Algebra and Logic, 2012, Volume 51, Issue 3, Pages 241–258
DOI: https://doi.org/10.1007/s10469-012-9187-4
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: V. G. Puzarenko, “Countably categorical theories”, Algebra Logika, 51:3 (2012), 358–384; Algebra and Logic, 51:3 (2012), 241–258
Citation in format AMSBIB
\Bibitem{Puz12}
\by V.~G.~Puzarenko
\paper Countably categorical theories
\jour Algebra Logika
\yr 2012
\vol 51
\issue 3
\pages 358--384
\mathnet{http://mi.mathnet.ru/al540}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013910}
\zmath{https://zbmath.org/?q=an:06121539}
\transl
\jour Algebra and Logic
\yr 2012
\vol 51
\issue 3
\pages 241--258
\crossref{https://doi.org/10.1007/s10469-012-9187-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309471100005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866171230}
Linking options:
  • https://www.mathnet.ru/eng/al540
  • https://www.mathnet.ru/eng/al/v51/i3/p358
    • 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
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:320
    Full-text PDF :136
    References:48
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024