2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76051In math.QA/0506507 I. Gelfand and the authors introduced and studied a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered (i.e. ranked) graphs.15 pages; AMSTEXQuantum AlgebraCombinatorics05E05; 15A15; 16W30On a class of Koszul algebras associated to directed graphstext