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, 2009, Volume 48, Number 1, Pages 31–53 (Mi al389)  
This article is cited in 20 scientific papers (total in 20 papers)

Reducibility on families

I. Sh. Kalimullina, V. G. Puzarenkob

a Department of Algebra and Mathematical Logics, N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University, Kazan, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (273 kB) Citations (20)
References:
PDF
HTML
Abstract: A reducibility on families of subsets of natural numbers is introduced which allows the family per se to be treated without its representation by natural numbers being fixed. This reducibility is used to study a series of problems both in classical computability and on admissible sets: for example, describing index sets of families belonging to $\Sigma_3^0 $, generalizing Friedberg's completeness theorem for a suitable reducibility on admissible sets, etc.
Keywords: family of subsets of natural numbers, admissible set, reducibility.
Received: 29.11.2007
Revised: 30.10.2008
English version:
Algebra and Logic, 2009, Volume 48, Issue 1, Pages 20–32
DOI: https://doi.org/10.1007/s10469-009-9037-1
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: I. Sh. Kalimullin, V. G. Puzarenko, “Reducibility on families”, Algebra Logika, 48:1 (2009), 31–53; Algebra and Logic, 48:1 (2009), 20–32
Citation in format AMSBIB
\Bibitem{KalPuz09}
\by I.~Sh.~Kalimullin, V.~G.~Puzarenko
\paper Reducibility on families
\jour Algebra Logika
\yr 2009
\vol 48
\issue 1
\pages 31--53
\mathnet{http://mi.mathnet.ru/al389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2526435}
\zmath{https://zbmath.org/?q=an:1241.03057}
\transl
\jour Algebra and Logic
\yr 2009
\vol 48
\issue 1
\pages 20--32
\crossref{https://doi.org/10.1007/s10469-009-9037-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264853500002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-63949083501}
Linking options:
  • https://www.mathnet.ru/eng/al389
  • https://www.mathnet.ru/eng/al/v48/i1/p31
    • This publication is cited in the following 20 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:575
    Full-text PDF :191
    References:90
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024