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Algebra i logika, 2016, Volume 55, Number 6, Pages 738–759
DOI: https://doi.org/10.17377/alglog.2016.55.604 (Mi al772) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Spectrum of the field of computable real numbers

M. V. Korovinaa, O. V. Kudinovbc

a Ershov Institute of Informatics Systems, Siberian Branch, Russian Academy of Sciences, pr. Lavrent'ev 6, Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
c Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (224 kB) Citations (3)
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DOI: https://doi.org/10.17377/alglog.2016.55.604
Abstract: Necessary and sufficient conditions for a Turing degree to be an element of the spectrum of the classical field of computable real numbers are established.
Keywords: field of computable real numbers, Turing degree.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00376
14-01-91334
Deutsche Forschungsgemeinschaft CAVER BE 1267/14-1
Supported by RFBR (project No. 14-01-00376) and by DFG/RFBR joint grant CAVER BE 1267/14-1 and 14-01-91334.
Received: 13.03.2015
Revised: 14.05.2016
English version:
Algebra and Logic, 2017, Volume 55, Issue 6, Pages 485–500
DOI: https://doi.org/10.1007/s10469-017-9419-8
Bibliographic databases:
Document Type: Article
UDC: 510.65
Language: Russian
Citation: M. V. Korovina, O. V. Kudinov, “Spectrum of the field of computable real numbers”, Algebra Logika, 55:6 (2016), 738–759; Algebra and Logic, 55:6 (2017), 485–500
Citation in format AMSBIB
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\by M.~V.~Korovina, O.~V.~Kudinov
\paper Spectrum of the field of computable real numbers
\jour Algebra Logika
\yr 2016
\vol 55
\issue 6
\pages 738--759
\mathnet{http://mi.mathnet.ru/al772}
\crossref{https://doi.org/10.17377/alglog.2016.55.604}
\transl
\jour Algebra and Logic
\yr 2017
\vol 55
\issue 6
\pages 485--500
\crossref{https://doi.org/10.1007/s10469-017-9419-8}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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