Convex lines in median groups
Kolibiar, Milan
Archivum Mathematicum, Tome 028 (1992), p. 67-75 / Harvested from Czech Digital Mathematics Library

There is proved that a convex maximal line in a median group $G$, containing 0, is a direct factor of $G$.

Publié le : 1992-01-01
Classification:  06F15,  08A99,  20F60,  20N10,  51A25
@article{107437,
     author = {Milan Kolibiar},
     title = {Convex lines in median groups},
     journal = {Archivum Mathematicum},
     volume = {028},
     year = {1992},
     pages = {67-75},
     zbl = {0783.20038},
     mrnumber = {1201867},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107437}
}
Kolibiar, Milan. Convex lines in median groups. Archivum Mathematicum, Tome 028 (1992) pp. 67-75. http://gdmltest.u-ga.fr/item/107437/

Median algebras, Discrete Math. 45 (1983), 1-30. (1983) | MR 0700848

Chains in modular ternary latticoids, Math. Slovaca 27 (1977), 249-256. (1977) | MR 0536142

Median algebra, Trans. Amer. Math. Soc. 260 (1980), 319-362. (1980) | MR 0574784 | Zbl 0446.06007

A ternary operation in distributive lattices, Bull. Amer. Math. Soc. 53 (1947), 749-752. (1947) | MR 0021540 | Zbl 0031.25002

Median groups, Archivum Math. (Brno) 25 (1989), 73-82. (1989) | MR 1189201 | Zbl 0738.06016

Discret product decompositions of median groups, General Algebra 1988, Proceedings of the Conference in Krems (Australia), August 1988. North Holland 1990, 139-151. | MR 1060351

Trees, lattices, order, and betweenness, Proc. Amer. Math. Soc. 3 (1952), 369-381. (1952) | MR 0048405

Medians, lattices, and trees, Proc. Amer. Math. Soc. 5 (1954), 808-812. (1954) | MR 0064750 | Zbl 0056.26201

Groups with an operation median, Komenský University Bratislava (1977), Thesis. (1977)