2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68036We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite dimensional A-representations, using Jordan-Holder filtrations. The non-commutativity of the topology is enforced by the order of the composition factors.Rings and AlgebrasQuantum Algebratext