Relations among some classes of quasigroups

We show relations among some classes of quasigroups. A quasigroup (G,.) is calIed unipotent if it contains an element x such that a.a = x, for every a in G; subtractive if b.(b.a) = a and a. (b.c) = c|.(b.a) for all a,b,c in G; medial if (a.b).(c.d) =(a.c).(b.d) for all a,b,c,d in G. We define a...