Geodesic
Linear representation of binary Abelian algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2005), pp. 58-63

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In the present paper binary Аbelian algebras are studied by bringing them to known algebraic structures such as monoids. We have found conditions when binary Аbelian algebra has a linear representation, i.e. every operation of Аbelian algebra can be expressed by operation and endomorphisms of commutative monoid. 
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S. S. Davidov. Linear representation of binary Abelian algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2005), pp. 58-63. http://geodesic.mathdoc.fr/item/UZERU_2005_3_a4/