Geodesic
Products of partially ordered quasigroups
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 2, pp. 209-217.

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We describe necessary and sufficient conditions for a direct product and a lexicographic product of partially ordered quasigroups to be a positive quasigroup. Analogous questions for Riesz quasigroups are studied.
Classification : 06F05, 06F99, 20N05
Keywords: partially ordered quasigroup; positive quasigroup; Riesz quasigroup; direct product; lexicographic pro\-duct 
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     author = {Demko, Milan},
     title = {Products of partially ordered quasigroups},
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Demko, Milan. Products of partially ordered quasigroups. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 2, pp. 209-217. http://geodesic.mathdoc.fr/item/CMUC_2008__49_2_a3/