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math.RA2019★ 1 cited
Modules over semisymmetric quasigroups
Alex W. Nowak
The class of semisymmetric quasigroups is determined by the identity We prove that the universal multiplication group of a semisymmetric quasigroup is free over its…
math.CO2019
Distributive Mendelsohn triple systems and the Eisenstein integers
Alex W. Nowak
We define a Mendelsohn triple system (MTS) with self-distributive quasigroup multiplication and order coprime with to be distributive, non-ramified (DNR). We classify, up to is…