2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226834Lower bounds for the dimension of a triangulated category are provided. These bounds are applied to stable derived categories of Artin algebras and of commutative complete intersection local rings. As a consequence, one obtains bounds for the representation dimensions of certain Artin algebras.Final revised version, to appear in Math. ZCategory TheoryRepresentation Theory16E30, 16E40, 18E30text