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Algebra i logika, 2006, Volume 45, Number 1, Pages 44–84 (Mi al117)  
This article is cited in 6 scientific papers (total in 6 papers)

Rogers Semilattices of Finite Partially Ordered Sets

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (395 kB) Citations (6)
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Abstract: It is proved that the principal sublattice of a Rogers semilattice of a finite partially ordered set is definable. For this goal to be met, we present a generalization of the Denisov theorem concerning extensions of embeddings of Lachlan semilattices to ideals of Rogers semilattices.
Keywords: Rogers semilattice, Lachlan semilattice, definability.
Received: 27.08.2005
Revised: 19.01.2006
English version:
Algebra and Logic, 2006, Volume 45, Issue 1, Pages 26–48
DOI: https://doi.org/10.1007/s10469-006-0004-9
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: Yu. L. Ershov, “Rogers Semilattices of Finite Partially Ordered Sets”, Algebra Logika, 45:1 (2006), 44–84; Algebra and Logic, 45:1 (2006), 26–48
Citation in format AMSBIB
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\by Yu.~L.~Ershov
\paper Rogers Semilattices of Finite Partially Ordered Sets
\jour Algebra Logika
\yr 2006
\vol 45
\issue 1
\pages 44--84
\mathnet{http://mi.mathnet.ru/al117}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2259476}
\zmath{https://zbmath.org/?q=an:1119.03036}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 1
\pages 26--48
\crossref{https://doi.org/10.1007/s10469-006-0004-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-32544458471}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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