Geodesic
Commutative abelian algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 44-51

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In the present paper commutative abelian binary algebras are studied by applying the construction of the algebra of semiterms. We have found the necessary condition when any hyperidentity (i.e. $\forall(\forall)$-identity) is satisfied in all abelian commutative binary algebras. 
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S. S. Davidov. Commutative abelian algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 44-51. http://geodesic.mathdoc.fr/item/UZERU_2007_3_a5/