Systems of intervals of partially ordered sets

Ján Jakubík; Judita Lihová

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 4, page 355-361
  • ISSN: 0139-9918

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Jakubík, Ján, and Lihová, Judita. "Systems of intervals of partially ordered sets." Mathematica Slovaca 46.4 (1996): 355-361. <http://eudml.org/doc/32371>.

@article{Jakubík1996,
author = {Jakubík, Ján, Lihová, Judita},
journal = {Mathematica Slovaca},
keywords = {interval of a partially ordered set; selfdual partially ordered system; interval poset},
language = {eng},
number = {4},
pages = {355-361},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Systems of intervals of partially ordered sets},
url = {http://eudml.org/doc/32371},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Jakubík, Ján
AU - Lihová, Judita
TI - Systems of intervals of partially ordered sets
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 4
SP - 355
EP - 361
LA - eng
KW - interval of a partially ordered set; selfdual partially ordered system; interval poset
UR - http://eudml.org/doc/32371
ER -

References

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  1. IGOSHIN V. I., Selfduality of lattices of intervals of finite lattices, In: International conference on algebra dedicated to the memory of A. I. Maltsev, Summaries of lectures on model theory and algebraic systems, lust, matem. Sibir. otdel. AN SSSR, Novosibirsk. 1989, p. 48. (Russian) (1989) 
  2. IGOSHIN V. I., Lattices of internals and lattices of convex sublattices of lattices, Vporyad. Mnozliestva Reshetki (Saratov) 6 (1980), 69-76. (Russian) (1980) MR0945975
  3. IGOSHIN V. I., Identities in intereal lattices of lattices, In: Contributions to Lattice Theory. Colloq. Math. Soc. Janos Bolyai 33 Szeged. 1980(1983), pp. 191-501. (1980) MR0724279
  4. IGOSHIN V. I., On lattices with restrictions on their interval lattices, In: Lectures in Universal Algebra. Colloq. Math. Soc. Janos Bolyai 43 Szeged. 1983, pp. 209-209. (1983) MR0860266
  5. IGOSHIN V. I., Algebraic characterization of interval lattices, Uspekhi Mat. Nauk 40 (1985), 205-206. (Russian) (1985) Zbl0592.06002MR0795195
  6. IGOSHIN V. I., Interval properties of quasivarieties of lattices, XVII. Vsesoyuz. algebr. konf. Summaries of lectures, Kishinev. (Russian) 
  7. IGOSHIN V. I., Semimodularity in interval lattices, Math. Slovaca 38 (1988), 305-308. (Russian) (1988) Zbl0664.06007MR0978760
  8. JAKUBIK J., Selfduality of the system of intervals of a partially ordered set, Czechoslovak Math. J. 41 (1991), 135-140. (1991) Zbl0790.06001MR1087633
  9. KOLIBIAR M., Intervals, convex sublattices and subdirect representations of lattices, In: Universal Algebra and Applications. Banach Center Publ. 9, Polish Acad. Sci.-Warsaw, 1982, pp. 335-339. (1982) Zbl0506.06003MR0738826
  10. LIHOVA J., Posets having a selfdual interval poset, Czechoslovak Math. J. 44 (1994), 523-533. (1994) Zbl0822.06001MR1288170
  11. SLAVÍK V., On lattices with isomorphic interval lattices, Czechoslovak Math. J. 35 (1985), 550-554. (1985) Zbl0592.06003MR0809041
  12. ZELINA M., Selfduality of the system of convex subsets of a partially ordered set, Comment. Math. Univ. Carolin. 34 (1993), 593-595. (1993) Zbl0784.06002MR1243092

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