2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59536We provide examples of finitely generated noetherian PI algebras for which there is no finite dimensional filtration with a noetherian associated graded ring; thus we answer negatively a question raised by M. Lorenz.11 pages, Latex documentRings and Algebras16P40,16P90,16R99,16W60text