2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63657We examine the condition that a complex Banach algebra $A$ have dense invertible group. We show that, for commutative algebras, this property is preserved by integral extensions. We also investigate the connections with an old problem in the theory of uniform algebras.8 pages, prepared in Plain TeXFunctional Analysis46J10; 46H05text