2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65406Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most three. By a result of Igusa and Todorov, this implies that the finitistic dimension of A is finite.16 pagesRepresentation TheoryRings and Algebras16E05; 16E10; 16G20text