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Algebra i logika, 2014, Volume 53, Number 4, Pages 427–450 (Mi al644)  

This article is cited in 7 scientific papers (total in 7 papers)

Families without minimal numberings

K. Sh. Abeshev, S. A. Badaev, M. Mustafa

Al-Farabi Kazakh National University, Al-Farabi ave. 71, Alma-Ata, 050038, Kazakhstan
Full-text PDF (226 kB) Citations (7)
References:
Abstract: It is proved that for any nonzero computable ordinal and its arbitrary notation $a$, there exists $\Sigma_a^{-1}$-computable family without minimal computable numberings.
Keywords: computable numbering, Ershov hierarchy, minimal numbering.
Received: 16.11.2013
English version:
Algebra and Logic, 2014, Volume 53, Issue 4, Pages 271–286
DOI: https://doi.org/10.1007/s10469-014-9290-9
Bibliographic databases:
Document Type: Article
UDC: 510.54
Language: Russian
Citation: K. Sh. Abeshev, S. A. Badaev, M. Mustafa, “Families without minimal numberings”, Algebra Logika, 53:4 (2014), 427–450; Algebra and Logic, 53:4 (2014), 271–286
Citation in format AMSBIB
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\by K.~Sh.~Abeshev, S.~A.~Badaev, M.~Mustafa
\paper Families without minimal numberings
\jour Algebra Logika
\yr 2014
\vol 53
\issue 4
\pages 427--450
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\transl
\jour Algebra and Logic
\yr 2014
\vol 53
\issue 4
\pages 271--286
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922074779}
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  • https://www.mathnet.ru/eng/al/v53/i4/p427
  • This publication is cited in the following 7 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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    Abstract page:267
    Full-text PDF :76
    References:47
    First page:11
     
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