Restricted Ideals in Rings of Analytic Functions
نویسنده
چکیده
Introduction. Let Y be a connected, noncompact Riemann surface, and let A be the ring of all analytic functions on Y. It is known that the ideal theory of the ring A is strikingly similar to the ideal theory of the ring C(X) of all real valued continuous functions on a completely regular topological space X. We show that locally much of the ideal theory of A can be recovered from the ideal theory of C(S) for a particular space 2. This will provide a device for transforming results about the ideal theory of C(S) into results about the ideal theory of A.
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