Title:
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Modular median algebras generated by some partial modular median algebras (English) |
Author:
|
Draškovičová, Hilda |
Language:
|
English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
46 |
Issue:
|
4 |
Year:
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1996 |
Pages:
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405-412 |
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Category:
|
math |
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MSC:
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08B15 |
idZBL:
|
Zbl 0889.08010 |
idMR:
|
MR1472634 |
. |
Date available:
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2009-09-25T11:17:51Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136679 |
. |
Reference:
|
[1] AVANN S. P.: Metric ternary distributive semilattices.Proc. Amer. Math. Soc. 12 (1961). 407-414. MR 0125807 |
Reference:
|
[2] BAKER K. A.: Finite equational basis for finite algebras in a congruence distributive equational class.Adv. Math. 24 (1977), 207-243. MR 0447074 |
Reference:
|
[3] BANDELT H. J.-HEDLIKOVA J.: Median algebras.Discrete Math. 45 (1983), 1-30. Zbl 0538.08003, MR 0700848 |
Reference:
|
[4] BANDELT H. J.,MULDER H. M.-WILKEIT E.: Quasi-median graphs and algebras.J. Graph Theory 18 (1994), 681-703. Zbl 0810.05057, MR 1297190 |
Reference:
|
[5] BIRKHOFF G.-KISS S. A.: A ternary operation in distributive lattices.Bull. Amer. Math. Soc. 53 (1947), 749-752. Zbl 0031.25002, MR 0021540 |
Reference:
|
[6] DRAŠKOVIČOVÁ H.: Modular median algebra.Math. Slovaca 32 (1982), 269-281. MR 0670003 |
Reference:
|
[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. MR 1060345 |
Reference:
|
[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. MR 1143073 |
Reference:
|
[9] FRIED E.-PIXLEY A. F.: The dual discriminator function in universal algebras.Acta Sci. Math. (Szeged) 41 (1979), 83-100. MR 0534502 |
Reference:
|
[10] HASHIMOTO J.: A ternary operation in lattices.Math. Japon. 2 (1951), 49-52. Zbl 0044.02102, MR 0045688 |
Reference:
|
[11] HEDLÍKOVÁ J.: Chains in modular ternary latticoids.Math. Slovaca 27 (1977). 249-256. Zbl 0359.06019, MR 0536142 |
Reference:
|
[12] HEDLÍKOVÁ J.: Ternary spaces, media and Chebyshev sets.Czechoslovak Math. J. 33(108) (1983), 373-389. Zbl 0544.51011, MR 0718922 |
Reference:
|
[13] ISBELL J. R.: Median algebra.Trans. Amer. Math. Soc. 260 (1980), 319-362. Zbl 0446.06007, MR 0574784 |
Reference:
|
[14] JÓNSSON B.: Algebras whose congruence lattices are distributive.Math. Scand. 21 (1967), 110-121. MR 0237402 |
Reference:
|
[15] KOLIBIAR M.-MARCISOVA T.: On a question of J. Hashimoto.Mat. Časopis 24 (1974), 179- 185. Zbl 0285.06008, MR 0351939 |
Reference:
|
[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. Zbl 0383.08008, MR 0469853 |
Reference:
|
[17] MULDER H. M.: The interval function of a graph.Math. Centre Tracts 132. Mathematisch Centrum, Amsterdam. Zbl 1205.05074, MR 0605838 |
Reference:
|
[18] NEBESKÝ L.: Algebraic properties of Husimi trees.Casopis Pest. Mat. 107 (1982). 116-123. Zbl 0502.05059, MR 0659742 |
Reference:
|
[19] SHOLANDER M.: Trees, lattices, order and betweenness.Proc. Amer. Math. Soc. 3 (1952), 369-381. MR 0048405 |
Reference:
|
[20] SHOLANDER M.: Medians and betweenness.Proc. Amer. Math. Soc. 5 (1954). 801-807. Zbl 0056.26101, MR 0064749 |
Reference:
|
[21] SHOLANDER M.: Medians, lattices and trees.Proc. Amer. Math. Soc. 5 (1954). 808-812. Zbl 0056.26201, MR 0064750 |
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