2026/08/04 by Viktória Klász, Markus Kleinau, Rene Marczinzik +1
Mathematics · #math.RT
arxiv created 2026/08/04 · arxiv updated 2026/08/05
We give a new characterisation of Auslander-Gorenstein finite dimensional algebras by showing that they are exactly the finite dimensional algebras with a well-defined Auslander-Reiten bijection. This proves a conjecture of Marczinzik. We use this to give a new proof that a finite lattice with an Auslander-Gorenstein incidence algebra has to be distributive.