2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128106We provide the definition and fundamental properties of algebraic elements with respect to an operator satisfying hypothesis (h). Furthermore, we analyze Hilbert modules using C_0-operators relative to a bounded finitely connected region Omega in the complex plane.14 pagesOperator AlgebrasGeneral Topology46C15; 46E15; 46E20; 47B38text