Modular median algebras

Previous | Up | Next

Article

Modular median algebras. (English). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 269-281

MSC: 06C05, 08A02, 08B10 | MR 670003 | Zbl 0491.08010

References:

[1] BIRKHOFF G., KISS S. A.: A ternary operation in distributive lattices. Bull. Amer. Math. Soc. 53, 1947, 749-752. MR 0021540 | Zbl 0031.25002

[2] BANDELT H. J., HEDLÍKOVÁ J.: Median algebras. Discrete Mathematics (Submitted.) Zbl 0506.06005

[3] FRIED, E, PIXLEY A. F.: The dual discriminator function in universal algebras. Acta Sci. Math (Szeged) 41, 1979, 83-100. MR 0534502

[4] GRÄTZER G.: Universal Algebra. 2nd ed. New York 1979. MR 0538623

[5] HASHIMOTO J.: A ternary operation in lattices. Math. Japon. 2, 1951, 49-52. MR 0045688 | Zbl 0044.02102

[6] HEDLIKOVÁ J.: Chains in modular ternary latticoids. Math. Slovaca 27, 1977, 249-256. MR 0536142 | Zbl 0359.06019

[7] HEDLIKOVA J.: Ternary spaces, media and Chebyshev sets. (Preprint) MR 0718922 | Zbl 0544.51011

[8] JÓNSSON B.: Algebras whose congruence lattices are distributive. Math. Scand. 21, 1967, 110-121. MR 0237402

[9] KOLIBIAR M., MARCISOVÁ T.: On a question of J. Hashimoto. Mat. Čas. 24, 1974 179-185. MR 0351939 | Zbl 0285.06008

[10] SHOLANDER M.: Medians, lattices and trees. Proc. Amer. Math. Soc. 5 1954, 808-812. MR 0064750 | Zbl 0056.26201

[11] ISBELL J. R.: Median algebra. Trans. Amer. Math. Soc. 260, 1980, 319-362. MR 0574784 | Zbl 0446.06007

Partner of