Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 3, Pages 85–94 (Mi vngu90)  

Lattices of order-convex sets

T. C.-D. Batueva

Novosibirsk State University
References:
Abstract: We give a characterization of the class of lattices isomorphic to convexity lattices of posets of finite length. Besides that, we describe the class of finite lattices isomorphic to convexity lattices of $n$-ary forests for any integer $n > 1$.
Keywords: lattice, poset, order-convex, length, forest, tree.
Received: 18.02.2011
English version:
Journal of Mathematical Sciences, 2013, Volume 195, Issue 6, Pages 771–778
DOI: https://doi.org/10.1007/s10958-013-1616-y
Document Type: Article
UDC: 512.56+512.57+514.146.01
Language: Russian
Citation: T. C.-D. Batueva, “Lattices of order-convex sets”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011), 85–94; J. Math. Sci., 195:6 (2013), 771–778
Citation in format AMSBIB
\Bibitem{Bat11}
\by T.~C.-D.~Batueva
\paper Lattices of order-convex sets
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 3
\pages 85--94
\mathnet{http://mi.mathnet.ru/vngu90}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 195
\issue 6
\pages 771--778
\crossref{https://doi.org/10.1007/s10958-013-1616-y}
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    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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