Identities in Universal Graph Algebras
Tiang Poomsa-Ard · 2009
Universal graph algebras establish a connection between multi graphs (universal graph) and universal algebras. We say that an universal graph G satisfies a term equation s ≈ t if the corresponding graph algebra A(G) satisfies s ≈ t. In this paper we generalize the concept of graph algebras of type τ = (n, n − 1,..., 3, 2, 0), n ≥ 2 to define universal graph algebras of type τ = (0, (ni)i∈I), ni ≥ 2 and characterize identities in universal graph algebras.