Convex lines in median groups
Archivum mathematicum, Tome 28 (1992) no. 1-2, pp. 67-75.

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There is proved that a convex maximal line in a median group $G$, containing 0, is a direct factor of $G$.
Classification : 06F15, 08A99, 20F60, 20N10, 51A25
Keywords: median algebra; group; line; direct product
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     author = {Kolibiar, Milan},
     title = {Convex lines in median groups},
     journal = {Archivum mathematicum},
     pages = {67--75},
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     year = {1992},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1992__28_1-2_a8/}
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Kolibiar, Milan. Convex lines in median groups. Archivum mathematicum, Tome 28 (1992) no. 1-2, pp. 67-75. http://geodesic.mathdoc.fr/item/ARM_1992__28_1-2_a8/