Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1296–1309 (Mi smj1919)  
This article is cited in 7 scientific papers (total in 7 papers)

Restrictions on the degree spectra of algebraic structures

I. Sh. Kalimullin

Kazan State University, Faculty of Mechanics and Mathematics
Full-text PDF (370 kB) Citations (7)
References:
PDF
HTML
Abstract: We construct the degree $\mathbf b\le\mathbf 0''$ admitting no algebraic structure with degree spectrum $\{\mathbf x\colon\mathbf x\nleq\mathbf b\}$. Moreover, we solve Miller's problem of distinguishing incomparable degrees by the spectra of linear orderings.
Keywords: computable algebraic structure, computably enumerable set, Turing degree, relative computability.
Received: 15.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1034–1043
DOI: https://doi.org/10.1007/s11202-008-0099-4
Bibliographic databases:
UDC: 510.53
Language: Russian
Citation: I. Sh. Kalimullin, “Restrictions on the degree spectra of algebraic structures”, Sibirsk. Mat. Zh., 49:6 (2008), 1296–1309; Siberian Math. J., 49:6 (2008), 1034–1043
Citation in format AMSBIB
\Bibitem{Kal08}
\by I.~Sh.~Kalimullin
\paper Restrictions on the degree spectra of algebraic structures
\jour Sibirsk. Mat. Zh.
\yr 2008
\vol 49
\issue 6
\pages 1296--1309
\mathnet{http://mi.mathnet.ru/smj1919}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2499101}
\transl
\jour Siberian Math. J.
\yr 2008
\vol 49
\issue 6
\pages 1034--1043
\crossref{https://doi.org/10.1007/s11202-008-0099-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261792400008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-57749181113}
Linking options:
  • https://www.mathnet.ru/eng/smj1919
  • https://www.mathnet.ru/eng/smj/v49/i6/p1296
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:320
    Full-text PDF :103
    References:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024