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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 3, Pages 77–84 (Mi vngu89)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimal Elements and Minimal Covers in Rogers Semilattice of Computable Numberings in Hyperarithmetical Hierarchy

N. A. Baklanova

Novosibirsk State University
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Abstract: Proved that Rogers semilattice of any infinite $\Sigma_{\omega}$-computable family contains infinitely many minimal elements, and each non-$0'$-universal numbering has infinitely many minimal covers.
Keywords: numbering, Rogers semilattice, hyperarithmetical hierarchy, minimal elements, minimal covers.
Received: 25.02.2011
Document Type: Article
UDC: 510.5
Language: Russian
Citation: N. A. Baklanova, “Minimal Elements and Minimal Covers in Rogers Semilattice of Computable Numberings in Hyperarithmetical Hierarchy”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011), 77–84
Citation in format AMSBIB
\Bibitem{Bak11}
\by N.~A.~Baklanova
\paper Minimal Elements and Minimal Covers in Rogers Semilattice of Computable Numberings in Hyperarithmetical Hierarchy
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 3
\pages 77--84
\mathnet{http://mi.mathnet.ru/vngu89}
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    • This publication is cited in the following 1 articles:
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