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Algebra i logika, 2005, Volume 44, Number 2, Pages 148–172 (Mi al99)  
This article is cited in 24 scientific papers (total in 24 papers)

Local Structure of Rogers Semilattices of $\Sigma^0_n$-Computable Numberings

S. Yu. Podzorov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (287 kB) Citations (24)
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Abstract: We deal in specific features of the algebraic structure of Rogers semilattices of $\Sigma^0_n$ – computable numberings, for $n\geqslant2$. It is proved that any Lachlan semilattice is embeddable (as an ideal) in such every semilattice, and that over an arbitrary non $0'$-principal element of such a lattice, any Lachlan semilattice is embeddable (as an interval) in it.
Keywords: Rogers semilattice, Lachlan semilattice, $\Sigma^0_n$-computable numbering.
Received: 23.04.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 1, Pages 82–94
DOI: https://doi.org/10.1007/s10469-005-0010-3
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: S. Yu. Podzorov, “Local Structure of Rogers Semilattices of $\Sigma^0_n$-Computable Numberings”, Algebra Logika, 44:2 (2005), 148–172; Algebra and Logic, 44:1 (2005), 82–94
Citation in format AMSBIB
\Bibitem{Pod05}
\by S.~Yu.~Podzorov
\paper Local Structure of Rogers Semilattices of~$\Sigma^0_n$-Computable Numberings
\jour Algebra Logika
\yr 2005
\vol 44
\issue 2
\pages 148--172
\mathnet{http://mi.mathnet.ru/al99}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170694}
\zmath{https://zbmath.org/?q=an:1104.03038}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 1
\pages 82--94
\crossref{https://doi.org/10.1007/s10469-005-0010-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-18244400091}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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