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Algebra i logika, 2017, Volume 56, Number 3, Pages 275–299
DOI: https://doi.org/10.17377/alglog.2017.56.301 (Mi al792) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Noncancellable, singular, and conjugate degrees

I. I. Batyrshin

Kazan (Volga Region) Federal University, ul. Kremlevskaya 18, Kazan, 420008 Russia
Full-text PDF (232 kB) Citations (4)
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DOI: https://doi.org/10.17377/alglog.2017.56.301
Abstract: We study degree structures of stronger algorithmic reducibilities inside the degrees of weaker algorithmic ones. Results in this area are reviewed for algorithmic reducibilities $m$-, $1$-, $tt$-, $wtt$-, $T$-, $e$-, $s$-, $Q$-, and we formulate questions that are still not settled for these. A computably enumerable $Q$-degree which consists of one computably enumerable $m$-degree is constructed.
Keywords: $Q$-reducibility, $m$-reducibility, computably enumerable degrees, noncancellable degrees, singular degrees, conjugate degrees.
Received: 29.02.2016
Revised: 27.05.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 3, Pages 181–196
DOI: https://doi.org/10.1007/s10469-017-9439-4
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: I. I. Batyrshin, “Noncancellable, singular, and conjugate degrees”, Algebra Logika, 56:3 (2017), 275–299; Algebra and Logic, 56:3 (2017), 181–196
Citation in format AMSBIB
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\by I.~I.~Batyrshin
\paper Noncancellable, singular, and conjugate degrees
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\pages 275--299
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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
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :24
    References:32
    First page:10
     
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