2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209255We show that if H is a hereditary finite dimensional algebra, M is a finitely generated H-module and B is a semisimple subalgebra of the endomorphism algebra of M, then the representation dimension of the corresponding triangular matrix algebra is less or equal to 3 whenever one of the following conditions hold: i) H is of finite representation type; ii) H is tame and M is a direct sum of regular and preprojective modules; iii) M has no self-extensions10 pagesRepresentation TheoryRings and Algebras16G10; 16G60text