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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 114, Pages 148–149 (Mi znsl1773)  
This article is cited in 2 scientific papers (total in 2 papers)

Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space

A. A. Kravchenko
Full-text PDF (1451 kB) Citations (2)
Abstract: It is proved that a minimal generating system of the lattice of all subspaces of a finite-dimensional vector space over a finite field of $q$ elements contains at most $\max(q+3)$ elements. This bound does not depend on the dimension of the space.
English version:
Journal of Soviet Mathematics, 1984, Volume 27, Issue 4, Pages 2942–2943
DOI: https://doi.org/10.1007/BF01410747
Bibliographic databases:
UDC: 519.46
Language: Russian
Citation: A. A. Kravchenko, “Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space”, Modules and algebraic groups, Zap. Nauchn. Sem. LOMI, 114, "Nauka", Leningrad. Otdel., Leningrad, 1982, 148–149; J. Soviet Math., 27:4 (1984), 2942–2943
Citation in format AMSBIB
\Bibitem{Kra82}
\by A.~A.~Kravchenko
\paper Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space
\inbook Modules and algebraic groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 114
\pages 148--149
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1773}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=669566}
\zmath{https://zbmath.org/?q=an:0552.15001|0494.15003}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 27
\issue 4
\pages 2942--2943
\crossref{https://doi.org/10.1007/BF01410747}
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  • https://www.mathnet.ru/eng/znsl/v114/p148
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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