Partially ordered sets having selfdual system of intervals
Mathematica Bohemica (1998)
- Volume: 123, Issue: 3, page 271-278
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
topJakubík, Ján. "Partially ordered sets having selfdual system of intervals." Mathematica Bohemica 123.3 (1998): 271-278. <http://eudml.org/doc/248314>.
@article{Jakubík1998,
abstract = {In the present paper we deal with the existence of large homogeneous partially ordered sets having the property described in the title.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {partially ordered set; interval; selfduality; connectedness; partially ordered set; interval; selfduality},
language = {eng},
number = {3},
pages = {271-278},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Partially ordered sets having selfdual system of intervals},
url = {http://eudml.org/doc/248314},
volume = {123},
year = {1998},
}
TY - JOUR
AU - Jakubík, Ján
TI - Partially ordered sets having selfdual system of intervals
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 3
SP - 271
EP - 278
AB - In the present paper we deal with the existence of large homogeneous partially ordered sets having the property described in the title.
LA - eng
KW - partially ordered set; interval; selfduality; connectedness; partially ordered set; interval; selfduality
UR - http://eudml.org/doc/248314
ER -
References
top- L. Fuchs, Partially Ordered Algebraic Systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
- V. I. Igoshin, Lattices of intervals and lattices of convex sublattices of lattices, Ordered sets and lattices 6 (1980), 69-76. (In Russian.) (1980) MR0945975
- V. I. Igoshin, Identities in interval lattices of lattices, Contributions to Lattice Theory, Coll. Math. Soc. J. Bolyai 33 (1983), 491-501. (1983) Zbl0522.06005MR0724279
- V. I. Igoshin, On lattices with restrictions on their interval lattices, Lectures in Universal Algebra, Coll. Math. Soc. J. Bolyai 43 (1986), 209-210. (1986) Zbl0598.06003MR0860266
- V. I. Igoshin, Algebraic characterization of interval lattices, Uspechi matem. nauk 40 (1985), 205-206. (In Russian.) (1985) Zbl0592.06002MR0795195
- V. I. Igoshin, Interval properties of quasivarieties of lattices, XVII. Vsesoyuz. alg. konf., Kishinev, 1985, Summaries of lectures, p. 212. (In Russian.) (1985)
- V. I. Igoshin, Semimodularity in interval lattices, Math. Slovaca 38 (1988), 305-308. (1988) Zbl0664.06007MR0978760
- V. I. Igoshin, Selfduality of lattices of intervals of finite lattices, International conference on algebra dedicated to the memory of A. I. Maltsev, Summaries of lectures on model theory and algebraic systems. Novosibirsk. 1989, p. 48. (In Russian.) (1989)
- J. Jakubík, Selfduality of the system of intervals of a partially ordered set, Czechoslovak Math. J. 41 (1991), 135-140. (1991) MR1087633
- J. Jakubík J. Lihová, Systems of intervals of partially ordered sets, Math. Slovaca 46 (1996), 355-361. (1996) MR1472629
- M. Kolibiar, Intervals, convex sublattices and subdirect representations of lattices, Universal Algebra and Applications, Banach Center Publ. Vol. 9. Warsaw, 1982, pp. 335-339. (1982) Zbl0506.06003MR0738826
- J. Lihová, Posets having a selfdual interval poset, Czechoslovak Math. J. 44 (1994), 523-533. (1994) MR1288170
- V. Slavík, On lattices with isomorphic interval lattices, Czechoslovak Math. J. 35 (1985), 550-554. (1985) MR0809041
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.