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On the unit-1-stable rank of rings of analytic functions.

Joan Josep Carmona; Julià Cufí; Pere Menal — 1992

Publicacions Matemàtiques

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.

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