Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Fai10}
\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}
Linking options:
  • https://www.mathnet.ru/eng/ivm7161
  • https://www.mathnet.ru/eng/ivm/y2010/i12/p58
    • 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)
    Statistics & downloads:
    Abstract page:521
    Full-text PDF :86
    References:59
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024