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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 4, Pages 769–778 (Mi smj1328)  
This article is cited in 18 scientific papers (total in 18 papers)

Minimal coverings in the Rogers semilattices of $\Sigma_n^0$-computable numberings

S. A. Badaeva, S. Yu. Podzorovb

a Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (222 kB) Citations (18)
Abstract: Under study is the problem of existence of minimal and strong minimal coverings in Rogers semilattices of $\Sigma_n^0$-computable numberings for $n\ge 2$. Two sufficient conditions for existence of minimal coverings and one sufficient condition for existence of strong minimal coverings are found. The problem is completely solved of existence of minimal coverings in Rogers semilattices of $\sum_n^0$-computable numberings of a finite family.
Keywords: computability, numbering, Rogers semilattice, minimal covering.
Received: 29.03.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 4, Pages 616–622
DOI: https://doi.org/10.1023/A:1016364016981
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: S. A. Badaev, S. Yu. Podzorov, “Minimal coverings in the Rogers semilattices of $\Sigma_n^0$-computable numberings”, Sibirsk. Mat. Zh., 43:4 (2002), 769–778; Siberian Math. J., 43:4 (2002), 616–622
Citation in format AMSBIB
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\by S.~A.~Badaev, S.~Yu.~Podzorov
\paper Minimal coverings in the Rogers semilattices of $\Sigma_n^0$-computable numberings
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 4
\pages 769--778
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1934578}
\zmath{https://zbmath.org/?q=an:1008.03026}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 4
\pages 616--622
\crossref{https://doi.org/10.1023/A:1016364016981}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000177460300003}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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