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Matematicheskie Zametki, 1968, Volume 4, Issue 4, Pages 405–416 (Mi mzm9462)  

This article is cited in 4 scientific papers (total in 4 papers)

Isotone mapping of free lattices

T. S. Fofanova

Moscow Institute of Chemical Engineering
Abstract: An arbitrary partially ordered set $P$ and an isotone mapping $\varphi$ of this set into a complete lattice $L$ are considered. It is proved that the mapping $\varphi$ can be extended to an isotone mapping $\varphi^*$ of the lattice $FL(P)$ into the lattice $L$.
Received: 26.04.1967
English version:
Mathematical Notes, 1968, Volume 4, Issue 4, Pages 734–741
DOI: https://doi.org/10.1007/BF01093711
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: T. S. Fofanova, “Isotone mapping of free lattices”, Mat. Zametki, 4:4 (1968), 405–416; Math. Notes, 4:4 (1968), 734–741
Citation in format AMSBIB
\Bibitem{Fof68}
\by T.~S.~Fofanova
\paper Isotone mapping of free lattices
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 4
\pages 405--416
\mathnet{http://mi.mathnet.ru/mzm9462}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=258684}
\zmath{https://zbmath.org/?q=an:0169.32402}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 4
\pages 734--741
\crossref{https://doi.org/10.1007/BF01093711}
Linking options:
  • https://www.mathnet.ru/eng/mzm9462
  • https://www.mathnet.ru/eng/mzm/v4/i4/p405
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:217
    Full-text PDF :91
    References:4
    First page:1
     
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