2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120963We define ''convergence'' for noncommutative power series and construct two topologies on the algebra of power series, convergent with respect to a positive radius. We indicate all finite dimensional continuous representations of this algebra and prove completeness for both topologies.14 pagesQuantum AlgebraRepresentation Theory16L30Convergent noncommutative power series algebras and their finite dimensional representationstext