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Title: Characterization of lattices of convex subsets of posets (English)
Author: Lihová, Judita
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 50
Issue: 1
Year: 2000
Pages: 113-119
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Category: math
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MSC: 06A06
MSC: 06B05
MSC: 06B23
idZBL: Zbl 1035.06002
idMR: MR1745466
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Date available: 2009-09-24T10:30:52Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127555
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Reference: [1] C. C. Chen, M. K. Koh: On the lattice of convex sublattices of a finite lattice.Nanta Math. 5 (1972), 93–95. MR 0351934
Reference: [2] V. I. Igošin: Lattices of intervals and lattices of convex sublattices of lattices.Mežvuzovskij naučnyj sbornik 6 – Uporjadočennyje množestva i rešotki, Saratov (1980), 69–76. (Russian) MR 0945975
Reference: [3] M. Kolibiar: Intervals, convex sublattices and subdirect representations of lattices.Universal Algebra and Applications, Banach Center Publications 9, Warsaw (1982), 335–339. Zbl 0506.06003, MR 0738826
Reference: [4] J. Lihová: On convexly isomorphic posets.Czechoslovak Math. J. 49 (1999), 135–148. MR 1676821, 10.1023/A:1022468427204
Reference: [5] V. I. Marmazejev: The lattice of convex sublattices of a lattice.Mežvuzovskij naučnyj sbornik 6 – Uporjadočennyje množestva i rešotki, Saratov (1986), 50–58. (Russian) MR 0957970
Reference: [6] M. Zelina: Selfduality of the system of convex subsets of a partially ordered set.CMUC AA 34, 3 (1990), 593–595. MR 1243092
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