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 |
. |
Category:
|
math |
. |
MSC:
|
06A06 |
MSC:
|
06B05 |
MSC:
|
06B23 |
idZBL:
|
Zbl 1035.06002 |
idMR:
|
MR1745466 |
. |
Date available:
|
2009-09-24T10:30:52Z |
Last updated:
|
2020-07-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127555 |
. |
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 |
. |