A note on Artinian Gorenstein algebras of codimension three Original Research Article

In this paper, using a standard fact in linkage theory, we give a new construction of Artinian Gorenstein algebras achieving all possible sets of graded Betti numbers for codimension three. Furthermore, as an application, we give another proof of Stanleyʹs well-known characterization theorem for the Hilbert functions of codimension three Artinian Gorenstein algebras.