Median groups

Milan Kolibiar

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 1-2, page 73-82
  • ISSN: 0044-8753

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Kolibiar, Milan. "Median groups." Archivum Mathematicum 025.1-2 (1989): 73-82. <http://eudml.org/doc/18260>.

@article{Kolibiar1989,
author = {Kolibiar, Milan},
journal = {Archivum Mathematicum},
keywords = {median algebra; ternary operation; identities; median group; l-group; m- group; subgroup; direct factor; convex maximal line},
language = {eng},
number = {1-2},
pages = {73-82},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Median groups},
url = {http://eudml.org/doc/18260},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Kolibiar, Milan
TI - Median groups
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 1-2
SP - 73
EP - 82
LA - eng
KW - median algebra; ternary operation; identities; median group; l-group; m- group; subgroup; direct factor; convex maximal line
UR - http://eudml.org/doc/18260
ER -

References

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  1. H.-J. Bandelt, J. Hedlíková, Median algebras, Discrete Math. 45 (1983), 1-30. (1983) Zbl0506.06005MR0700848
  2. A. Bigard K. Keimel, S. Wolfenstein, Groupes et anneaux réticulés, Lecture Notes in Math. No. 608, Springer, Berlin-Heidelberg-New York, 1977. (1977) Zbl0384.06022MR0552653
  3. J. Hedlíková, Chains in modular ternary latticoids, Math. Slovaca 27 (1977), 249-256. (1977) Zbl0359.06019MR0536142
  4. J. R. Isbell, Median algebra, Trans. Amer. Math. Soc. 260 (1980), 319-362. (1980) Zbl0446.06007MR0574784
  5. J. Jakubík, Konvexe Ketten in l-Gruppen, Časopis Pěst. Mat. 84 (1959), 53-63. (1959) Zbl0083.01803MR0104740
  6. S. A. Kiss, A ternary operation in distributive lattices, Bull. Amer. Math. Soc. 53 (1947), 749-752. (1947) Zbl0031.25002MR0021540
  7. M. Kolibiar, Median-Gruppen, Summer session on the theory of ordered sets and general algebra held at Cikháj 1969, J. E. Purkyně University, Brno, 1969. (1969) 
  8. M. Kolibiar, T. Marcisová, On a question of J. Hashimoto, Mat. Časopis Sloven. Akad. Vied 24 (1974), 179-185. (1974) Zbl0285.06008MR0351939
  9. T. Marcisová, Groups with the operation median, Thesis, Komenský Univeгsity, Bratislava, 1977 (Slovak). (1977) 
  10. M. Sholander, Trees, lattices, order, and betweenness, Proc. Amer. Math. Soc. 3 (1952), 369-381. (1952) MR0048405
  11. M. Sholander, Medians and betweenness, Proc. Amer. Math. Soc. 5 (1954), 801-807. (1954) Zbl0056.26101MR0064749
  12. M. Sholander, Medians, lattices, and trees, Proc. Amer. Math. Soc. 5 (1954), 808-812. (1954) Zbl0056.26201MR0064750

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