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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 58–66 (Mi ivm7161)  
This article is cited in 4 scientific papers (total in 4 papers)

Decomposability of low 2-computably enumerable degrees and Turing jumps in the Ershov hierarchy

M. Kh. Faizrakhmanov

Chair of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia
Full-text PDF (216 kB) Citations (4)
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Abstract: In this paper we prove the following theorem: For every notation of constructive ordinal, there exists a low 2-computably enumerable degree which is not splittable into two lower 2-computably enumerable degrees, whose jumps belong to the $\Delta$-level of the Ersov hierarchy that corresponds to this notation.
Keywords: low degrees, 2-computably enumerable degrees, Ershov hierarchy, Turing jumps, constructive ordinals.
Received: 08.04.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 51–58
DOI: https://doi.org/10.3103/S1066369X10120066
Bibliographic databases:
Document Type: Article
UDC: 510.53
Language: Russian
Citation: M. Kh. Faizrakhmanov, “Decomposability of low 2-computably enumerable degrees and Turing jumps in the Ershov hierarchy”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 58–66; Russian Math. (Iz. VUZ), 54:12 (2010), 51–58
Citation in format AMSBIB
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\by M.~Kh.~Faizrakhmanov
\paper Decomposability of low 2-computably enumerable degrees and Turing jumps in the Ershov hierarchy
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 12
\pages 58--66
\mathnet{http://mi.mathnet.ru/ivm7161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814579}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 12
\pages 51--58
\crossref{https://doi.org/10.3103/S1066369X10120066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952843116}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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