Lattice betweenness relation and a generalization of König's lemma

Jarmila Hedlíková; Tibor Katriňák

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 4, page 343-354
  • ISSN: 0139-9918

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Hedlíková, Jarmila, and Katriňák, Tibor. "Lattice betweenness relation and a generalization of König's lemma." Mathematica Slovaca 46.4 (1996): 343-354. <http://eudml.org/doc/31848>.

@article{Hedlíková1996,
author = {Hedlíková, Jarmila, Katriňák, Tibor},
journal = {Mathematica Slovaca},
keywords = {tree; König’s lemma; partially ordered set; transitive -partite König graph; -frame; lattice betweenness relation; ternary relation},
language = {eng},
number = {4},
pages = {343-354},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lattice betweenness relation and a generalization of König's lemma},
url = {http://eudml.org/doc/31848},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Hedlíková, Jarmila
AU - Katriňák, Tibor
TI - Lattice betweenness relation and a generalization of König's lemma
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 4
SP - 343
EP - 354
LA - eng
KW - tree; König’s lemma; partially ordered set; transitive -partite König graph; -frame; lattice betweenness relation; ternary relation
UR - http://eudml.org/doc/31848
ER -

References

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  2. BIRKHOFF G., Lattice Theory, (Зrd ed.). Amer. Math. Soc. Colloq. Publ. 25. Providence, R.I.-1967. (1967) Zbl0153.02501MR0227053
  3. HEDLÍKOVÁ J.-KATRIŇÁK T., On a characterization of lattices by the betweenness relation - on a problem of M. Kolibiar, Algebra Universalis 28 (1991), 389-400. (1991) Zbl0757.06003MR1120620
  4. KOLIBIAR M., Charakterisierung der Verbände durch die Relation zwischen, Z. Math. Logik Grundlag. Math. 4 (1958), 89-100. (1958) MR0098044
  5. KONIG D., Sur les correspondences multivoques des ensembles, Fund. Math. 8 (1926). 114-134. (1926) 
  6. MILNER E. C.-SAUER N., Remarks on the cofinality of a partгally ordered set, and ageneralization of König's lemma, Discrete Math. 35 (1981), 165-171. (1981) MR0620669
  7. WECHLER W., Universal Algebra for Computer Scientists, Monographs on Theoretical Computer Sciеncе, Vol. 25, Springer-Vеrlag, Bеrlin, Hеidеlbеrg, 1992. (1992) Zbl0748.68002MR1177406

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