Geodesic
Construction of Quasigroups Satisfying the Identity X(XY) = YX
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 57-59

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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. 
Lindner, Charles C. Construction of Quasigroups Satisfying the Identity X(XY) = YX. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 57-59. doi: 10.4153/CMB-1971-010-3
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