Characterization of lattices of convex subsets of posets
Czechoslovak Mathematical Journal (2000)
- Volume: 50, Issue: 1, page 113-119
- ISSN: 0011-4642
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topLihová, Judita. "Characterization of lattices of convex subsets of posets." Czechoslovak Mathematical Journal 50.1 (2000): 113-119. <http://eudml.org/doc/30548>.
@article{Lihová2000,
author = {Lihová, Judita},
journal = {Czechoslovak Mathematical Journal},
keywords = {convex subset; totally irreducible element; -lattice; -lattice},
language = {eng},
number = {1},
pages = {113-119},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterization of lattices of convex subsets of posets},
url = {http://eudml.org/doc/30548},
volume = {50},
year = {2000},
}
TY - JOUR
AU - Lihová, Judita
TI - Characterization of lattices of convex subsets of posets
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 113
EP - 119
LA - eng
KW - convex subset; totally irreducible element; -lattice; -lattice
UR - http://eudml.org/doc/30548
ER -
References
top- On the lattice of convex sublattices of a finite lattice, Nanta Math. 5 (1972), 93–95. (1972) MR0351934
- Lattices of intervals and lattices of convex sublattices of lattices, Mežvuzovskij naučnyj sbornik 6 – Uporjadočennyje množestva i rešotki, Saratov (1980), 69–76. (Russian) (1980) MR0945975
- Intervals, convex sublattices and subdirect representations of lattices, Universal Algebra and Applications, Banach Center Publications 9, Warsaw (1982), 335–339. (1982) Zbl0506.06003MR0738826
- 10.1023/A:1022468427204, Czechoslovak Math. J. 49 (1999), 135–148. (1999) MR1676821DOI10.1023/A:1022468427204
- The lattice of convex sublattices of a lattice, Mežvuzovskij naučnyj sbornik 6 – Uporjadočennyje množestva i rešotki, Saratov (1986), 50–58. (Russian) (1986) MR0957970
- Selfduality of the system of convex subsets of a partially ordered set, CMUC AA 34, 3 (1990), 593–595. (1990) MR1243092
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