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Article

Title: On projective intervals in a modular lattice (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 117
Issue: 3
Year: 1992
Pages: 293-298
Summary lang: English
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Category: math
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Summary: In this paper a combinatorial result concerning paire of projective intervals of a modular lattice will be established. (English)
Keyword: projective intervals
Keyword: modular lattice
Keyword: transposed intervals
MSC: 06C05
idZBL: Zbl 0773.06013
idMR: MR1184542
DOI: 10.21136/MB.1992.126283
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Date available: 2009-09-24T20:53:48Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/126283
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Reference: [1] G. Birkhoff: Lattice Theory.Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053
Reference: [2] G. Behrendt: Multiposets and the convexity of posets.Ars combin. 23 (1987), 69-74. MR 0886940
Reference: [3] B. Bollobás G. Brightwell J. Nešetřil: Random graphs and covering graphs of posets.Order 3 (1986), 245-255. MR 0878921, 10.1007/BF00400288
Reference: [4] K. Engel N.N. Kuzjurin: About the ration of the size of a maximum antichain to the size of a maximum level in finite partially ordered sets.Combinatorica 5 (1985), 301-309. MR 0845139, 10.1007/BF02579244
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