Geodesic
Hyperidentities in associative graph algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 2, pp. 169-182

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Graph algebras establish a connection between directed graphs without multiple edges and special universal algebras of type (2,0). We say that a graph G satisfies an identity s ≈ t if the correspondinggraph algebra A(G) satisfies s ≈ t. A graph G is called associative if the corresponding graph algebra A(G) satisfies the equation (xy)z ≈ x(yz). An identity s ≈ t of terms s and t of any type τ is called a hyperidentity of an algebra A̲ if whenever the operation symbols occurring in s and t are replaced by any term operations of A of the appropriate arity, the resulting identities hold in A.
Keywords: identities, hyperidentities, associative graph algebras, terms 
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Poomsa-ard, Tiang. Hyperidentities in associative graph algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 2, pp. 169-182. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_2_a1/