Geodesic
Hyperidentities in transitive graph algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 23-37

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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 corresponding graph algebra A(G) satisfies s ≈ t. A graph G = (V,E) is called a transitive graph if the corresponding graph algebra A(G) satisfies the equation x(yz) ≈ (xz)(yz). An identity s ≈ t of terms s and t of any type t 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 A̲ .
Keywords: identity, hyperidentity, term, normal form term, binary algebra, graph algebra, transitive graph algebra 
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Poomsa-ard, Tiang; Wetweerapong, Jeerayut; Samartkoon, Charuchai. Hyperidentities in transitive graph algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 23-37. http://geodesic.mathdoc.fr/item/DMGAA_2005_25_1_a1/