Construction of Quasigroups Satisfying the Identity <i>X(XY) = YX</i>
Construction of Quasigroups Satisfying the Identity <i>X(XY) = YX</i>
In [4], A. Sade defines the singular direct product for quasigroups. In this paper we use the singular direct product to construct quasigroups satisfying the identity x(xy)=yx . In particular, we show that the singular direct product preserves the identity x(xy)=yx .