Geodesic
On parastrophes of abelian invertible algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 39-43

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In the present paper we have proved that parastrophes of the abelian invertible algebras are also abelian, in particular every abelian (medial) quasigroup satisfies the abelian hyperidentity. 
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S. S. Davidov. On parastrophes of abelian invertible algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 39-43. http://geodesic.mathdoc.fr/item/UZERU_2008_3_a5/