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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 85–90 (Mi ivm7174)  
This article is cited in 3 scientific papers (total in 3 papers)

A semilattice generated by superlow computably enumerable degrees

M. Kh. Faizrakhmanov

Chair of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia
Full-text PDF (183 kB) Citations (3)
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Abstract: We prove that a partially ordered set of all computably enumerable (c.e.) degrees that are the least upper bounds of two superlow c.e. degrees is an upper semilattice not elementary equivalent to the semilattice of all c.e. degrees.
Keywords: superlow degrees, low degrees, totally c.e. degrees, critical triples.
Received: 24.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 74–78
DOI: https://doi.org/10.3103/S1066369X11010087
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: M. Kh. Faizrakhmanov, “A semilattice generated by superlow computably enumerable degrees”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 85–90; Russian Math. (Iz. VUZ), 55:1 (2011), 74–78
Citation in format AMSBIB
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\by M.~Kh.~Faizrakhmanov
\paper A semilattice generated by superlow computably enumerable degrees
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 1
\pages 85--90
\mathnet{http://mi.mathnet.ru/ivm7174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810196}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 74--78
\crossref{https://doi.org/10.3103/S1066369X11010087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952848941}
Linking options:
  • https://www.mathnet.ru/eng/ivm7174
  • https://www.mathnet.ru/eng/ivm/y2011/i1/p85
    • This publication is cited in the following 3 articles:
    1. Marat Faizrahmanov, “A classification of low c.e. sets and the Ershov hierarchy”, Mathematical Logic Qtrly, 69:4 (2023), 508  crossref
    2. M. Kh. Faizrahmanov, “Splitting of c.e. degrees and superlowness”, Sib. elektron. matem. izv., 19:2 (2022), 578–585  mathnet  crossref  mathscinet
    3. M. Kh. Faizrakhmanov, “Arithmetical level of a class of superhigh sets”, Russian Math. (Iz. VUZ), 58:5 (2014), 43–47  mathnet  crossref
    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:357
    Full-text PDF :263
    References:60
    First page:3
     
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