On posets with isomorphic interval posets

Judita Lihová

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 1, page 67-80
  • ISSN: 0011-4642

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Lihová, Judita. "On posets with isomorphic interval posets." Czechoslovak Mathematical Journal 49.1 (1999): 67-80. <http://eudml.org/doc/30466>.

@article{Lihová1999,
author = {Lihová, Judita},
journal = {Czechoslovak Mathematical Journal},
keywords = {poset; interval; lattice},
language = {eng},
number = {1},
pages = {67-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On posets with isomorphic interval posets},
url = {http://eudml.org/doc/30466},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Lihová, Judita
TI - On posets with isomorphic interval posets
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 67
EP - 80
LA - eng
KW - poset; interval; lattice
UR - http://eudml.org/doc/30466
ER -

References

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  1. Selfduality of lattices of intervals of finite lattices, Inst. Matem. Sibir. Otdel. AN SSSR, Meždunarodnaja konferencija po algebre posvjaščennaja pamjati A. I.  Maľceva, Tezisy dokladov po teoriji modelej i algebraičeskich sistem, Novosibirsk 1989, p. 48. (Russian) 
  2. Lattices of intervals and lattices of convex sublattices of lattices, Uporjadočennyje množestva i rešotki. Saratov 6 (1990), 69–76. (Russian) (1990) MR0945975
  3. Identities in interval lattices of lattices, Coll. Math. Soc. J. Bolyai 33 (Contributions to Lattice Theory), Szeged 1980 (1983), 491–501. (1983) MR0724279
  4. On lattices with restriction on their intervals, Coll. Math. Soc. J. Bolyai 43 (Lectures in Universal Algebra), Szeged 1983 (1986), 209–216. (1986) MR0860266
  5. Algebraic characteristic of lattices of intervals, Uspechi matem. nauk 40 (1985), 205–206. (Russian) (1985) MR0795195
  6. Semimodularity in lattices of intervals, Math. Slovaca 38 (1988), 305–308. (1988) MR0978760
  7. Selfduality of the system of intervals of a partially ordered set, Czechoslov. Math. J. 41 (1991), 135–140. (1991) MR1087633
  8. Systems of intervals of partially ordered sets, Math. Slovaca, to appear. MR1472629
  9. 10.4064/-9-1-335-339, Universal Algebra and Applications, Banach Center Publications, Vol. 9, Warsaw 1982, 335–339. Zbl0506.06003MR0738826DOI10.4064/-9-1-335-339
  10. Posets having a selfdual interval poset, Czechoslovak Math. J. 44 (1994), 523–533. (1994) MR1288170
  11. On lattices with isomorphic interval lattices, Czechoslovak Math. J. 35 (1985), 550–554. (1985) MR0809041

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