2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110348Let A be a selfinjective algebra. We show that, for any n, maximal n-orthogonal A-modules (in the sense of Iyama), rarely exist. More precisely, we prove that if A admits a maximal n-orthogonal module, then all A-modules are of complexity at most 1.10 pagesRepresentation Theory16G10; 16D50; 16E10; 16G70text