Classification of the Auslander-Reiten quivers of local Gorenstein orders and a characterization of the simple curve singularities
This paper contains a complete list of all finite Auslander-Reiten quivers of local Gorenstein orders over a complete Dedekind domain of finite lattice type. For each translation quiver \(\Gamma\) in this list, a Gorenstein order \(\Lambda\) is explicitly indicated, with \(\Gamma\) as its Auslander-Reiten quiver. In each case, indecomposable \(\Lambda\)-lattices are described.
scientific article; zbMATH DE number 3961871
scientific article