# Partially ordered sets having selfdual system of intervals

Mathematica Bohemica (1998)

- Volume: 123, Issue: 3, page 271-278
- ISSN: 0862-7959

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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

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- 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

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