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Algebra i logika, 2006, Volume 45, Number 6, Pages 637–654 (Mi al163)  

This article is cited in 25 scientific papers (total in 25 papers)

Isomorphism types of Rogers semilattices for families from different levels of the arithmetical hierarchy

S. A. Badaeva, S. S. Goncharovb, A. Sorbic

a Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
c Dipartimento di Scienze Matematiche ed Informatiche Roberto Magari, Università degli Studi di Sienna
References:
Abstract: We investigate differences in isomorphism types for Rogers semilattices of computable numberings of families of sets lying in different levels of the arithmetical hierarchy.
Keywords: arithmetical hierarchy, computable numbering, Rogers semilattice.
Received: 30.10.2005
English version:
Algebra and Logic, 2006, Volume 45, Issue 6, Pages 361–370
DOI: https://doi.org/10.1007/s10469-006-0034-3
Bibliographic databases:
UDC: 510.55
Language: Russian
Citation: S. A. Badaev, S. S. Goncharov, A. Sorbi, “Isomorphism types of Rogers semilattices for families from different levels of the arithmetical hierarchy”, Algebra Logika, 45:6 (2006), 637–654; Algebra and Logic, 45:6 (2006), 361–370
Citation in format AMSBIB
\Bibitem{BadGonSor06}
\by S.~A.~Badaev, S.~S.~Goncharov, A.~Sorbi
\paper Isomorphism types of Rogers semilattices for families from different levels of the arithmetical hierarchy
\jour Algebra Logika
\yr 2006
\vol 45
\issue 6
\pages 637--654
\mathnet{http://mi.mathnet.ru/al163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2321084}
\zmath{https://zbmath.org/?q=an:1164.03340}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 6
\pages 361--370
\crossref{https://doi.org/10.1007/s10469-006-0034-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845625210}
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  • https://www.mathnet.ru/eng/al163
  • https://www.mathnet.ru/eng/al/v45/i6/p637
  • This publication is cited in the following 25 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
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    Full-text PDF :110
    References:58
    First page:9
     
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