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Matematicheskie Trudy, 2004, Volume 7, Number 2, Pages 98–108 (Mi mt78)  
This article is cited in 9 scientific papers (total in 9 papers)

Dual Covers of the Greatest Element of the Rogers Semilattice

S. Yu. Podzorov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1185 kB) Citations (9)
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Abstract: In the article, we study the algebraic structure of the Rogers semilattices of $\Sigma_n^0$-computable numberings for $n\ge2$. We prove that, under some sufficient conditions, the greatest element of each of these semilattices can be a limit element (i. e., cannot have dual covers).
Key words: numbering, reducibility of numberings, $\Sigma^0_n$-computable numbering, the Rogers semilattice, cover, complete numbering, weak reducibility.
Received: 22.04.2004
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: S. Yu. Podzorov, “Dual Covers of the Greatest Element of the Rogers Semilattice”, Mat. Tr., 7:2 (2004), 98–108; Siberian Adv. Math., 15:2 (2005), 104–114
Citation in format AMSBIB
\Bibitem{Pod04}
\by S.~Yu.~Podzorov
\paper Dual Covers of the~Greatest Element of the~Rogers Semilattice
\jour Mat. Tr.
\yr 2004
\vol 7
\issue 2
\pages 98--108
\mathnet{http://mi.mathnet.ru/mt78}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2124541}
\zmath{https://zbmath.org/?q=an:1095.03027}
\transl
\jour Siberian Adv. Math.
\yr 2005
\vol 15
\issue 2
\pages 104--114
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:53
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