Modular median algebras generated by some partial modular median algebras

Hilda Draškovičová

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 4, page 405-412
  • ISSN: 0232-0525

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Draškovičová, Hilda. "Modular median algebras generated by some partial modular median algebras." Mathematica Slovaca 46.4 (1996): 405-412. <http://eudml.org/doc/34439>.

@article{Draškovičová1996,
author = {Draškovičová, Hilda},
journal = {Mathematica Slovaca},
keywords = {modular median algebra; free algebra; partial algebras},
language = {eng},
number = {4},
pages = {405-412},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Modular median algebras generated by some partial modular median algebras},
url = {http://eudml.org/doc/34439},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Draškovičová, Hilda
TI - Modular median algebras generated by some partial modular median algebras
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 4
SP - 405
EP - 412
LA - eng
KW - modular median algebra; free algebra; partial algebras
UR - http://eudml.org/doc/34439
ER -

References

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  1. AVANN S. P., Metric ternary distributive semilattices, Proc. Amer. Math. Soc. 12 (1961). 407-414. (1961) MR0125807
  2. BAKER K. A., Finite equational basis for finite algebras in a congruence distributive equational class, Adv. Math. 24 (1977), 207-243. (1977) MR0447074
  3. BANDELT H. J.-HEDLIKOVA J., Median algebras, Discrete Math. 45 (1983), 1-30. (1983) Zbl0538.08003MR0700848
  4. BANDELT H. J.,MULDER H. M.-WILKEIT E., Quasi-median graphs and algebras, J. Graph Theory 18 (1994), 681-703. (1994) Zbl0810.05057MR1297190
  5. BIRKHOFF G.-KISS S. A., A ternary operation in distributive lattices, Bull. Amer. Math. Soc. 53 (1947), 749-752. (1947) Zbl0031.25002MR0021540
  6. DRAŠKOVIČOVÁ H., Modular median algebra, Math. Slovaca 32 (1982), 269-281. (1982) MR0670003
  7. DRAŠKOVIČOVÁ H., On some classes of perfect media, In: General Algebra 1988 (Proc. of the International Conference held in memory of W. Nőbauer, Krems, Austria, August 21-27, 1988), Elsevier Science Publisher B.V. (North-Holland), 1990, pp. 65-84. (1988) MR1060345
  8. DRAŠKOVIČOVÁ H., Varieties of modular median algebras, In: Contribution to General Algebra 7 (Proc. of the Vienna Conference, June 14-17, 1990), Verlag Holder-Pichler-Tempsky, Wien, 1991, pp. 119-125. (1990) MR1143073
  9. FRIED E.-PIXLEY A. F., The dual discriminator function in universal algebras, Acta Sci. Math. (Szeged) 41 (1979), 83-100. (1979) MR0534502
  10. HASHIMOTO J., A ternary operation in lattices, Math. Japon. 2 (1951), 49-52. (1951) Zbl0044.02102MR0045688
  11. HEDLÍKOVÁ J., Chains in modular ternary latticoids, Math. Slovaca 27 (1977). 249-256. (1977) Zbl0359.06019MR0536142
  12. HEDLÍKOVÁ J., Ternary spaces, media and Chebyshev sets, Czechoslovak Math. J. 33(108) (1983), 373-389. (1983) Zbl0544.51011MR0718922
  13. ISBELL J. R., Median algebra, Trans. Amer. Math. Soc. 260 (1980), 319-362. (1980) Zbl0446.06007MR0574784
  14. JÓNSSON B., Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110-121. (1967) MR0237402
  15. KOLIBIAR M.-MARCISOVA T., On a question of J. Hashimoto, Mat. Časopis 24 (1974), 179- 185. (1974) Zbl0285.06008MR0351939
  16. McKENZIE R., Para-primal varieties: a study of finite axiomatizability and definable principal congruences in locally finite varieties, Algebra Universalis 8 (1978). 336-348. (1978) Zbl0383.08008MR0469853
  17. MULDER H. M., The interval function of a graph, Math. Centre Tracts 132. Mathematisch Centrum, Amsterdam. Zbl1205.05074MR0605838
  18. NEBESKÝ L., Algebraic properties of Husimi trees, Casopis Pest. Mat. 107 (1982). 116-123. (1982) Zbl0502.05059MR0659742
  19. SHOLANDER M., Trees, lattices, order and betweenness, Proc. Amer. Math. Soc. 3 (1952), 369-381. (1952) MR0048405
  20. SHOLANDER M., Medians and betweenness, Proc. Amer. Math. Soc. 5 (1954). 801-807. (1954) Zbl0056.26101MR0064749
  21. SHOLANDER M., Medians, lattices and trees, Proc. Amer. Math. Soc. 5 (1954). 808-812. (1954) Zbl0056.26201MR0064750

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