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Matematicheskie Zametki, 1972, Volume 12, Issue 5, Pages 617–620 (Mi mzm9924)  
A compactly generated lattice with unique complements is distributive

V. N. Salii

Saratov State University
Full-text PDF (451 kB)
Abstract: It is known that in a lattice with unique complements, the modularity, atomicity, de Morgan, and other conditions imply that the lattice is distributive. It is proved that a compactly generated lattice with unique complements is also Boolean.
Received: 26.07.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 5, Pages 806–807
DOI: https://doi.org/10.1007/BF01099070
Bibliographic databases:
Document Type: Article
UDC: 519.5
Language: Russian
Citation: V. N. Salii, “A compactly generated lattice with unique complements is distributive”, Mat. Zametki, 12:5 (1972), 617–620; Math. Notes, 12:5 (1972), 806–807
Citation in format AMSBIB
\Bibitem{Sal72}
\by V.~N.~Salii
\paper A compactly generated lattice with unique complements is distributive
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 5
\pages 617--620
\mathnet{http://mi.mathnet.ru/mzm9924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=318026}
\zmath{https://zbmath.org/?q=an:0302.06009}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 5
\pages 806--807
\crossref{https://doi.org/10.1007/BF01099070}
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