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 7, Pages 73–85 (Mi ivm7110)  
This article is cited in 12 scientific papers (total in 12 papers)

Presentations of the successor relation of computably linear ordering

A. N. Frolov

Department of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia
Full-text PDF (251 kB) Citations (12)
References:
PDF
HTML
Abstract: We prove that a nontrivial degree spectrum of the successor relation of either strongly $\eta$-like or non-$\eta$-like computable linear orderings is closed upward in the class of all computably enumerable degrees. We also show that the degree spectrum contains $\mathbf0$ if and only if either it is trivial or it contains all computably enumerable degrees.
Keywords: linear orderings, successor relation, Turing degree spectra, computable presentations.
Received: 09.09.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 7, Pages 64–74
DOI: https://doi.org/10.3103/S1066369X10070078
Bibliographic databases:
Document Type: Article
UDC: 510.53+512.562
Language: Russian
Citation: A. N. Frolov, “Presentations of the successor relation of computably linear ordering”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7, 73–85; Russian Math. (Iz. VUZ), 54:7 (2010), 64–74
Citation in format AMSBIB
\Bibitem{Fro10}
\by A.~N.~Frolov
\paper Presentations of the successor relation of computably linear ordering
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 7
\pages 73--85
\mathnet{http://mi.mathnet.ru/ivm7110}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752695}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 7
\pages 64--74
\crossref{https://doi.org/10.3103/S1066369X10070078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649571513}
Linking options:
  • https://www.mathnet.ru/eng/ivm7110
  • https://www.mathnet.ru/eng/ivm/y2010/i7/p73
    • This publication is cited in the following 12 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:341
    Full-text PDF :80
    References:38
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024