Resumen de On the unit 1-stable rank of rings of analytic functions

Juan José Carmona Doménech , Julià Cufí Sobregrau , Pere Menal Brufal

• In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.