Abstract: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.
Keywords: partially ordered quasigroup, positive quasigroup, Riesz quasigroup, direct product, lexicographic product
AMS Subject Classification: 20N05, 06F99