Coherence of the real symmetric Hardy algebra

Let D denote the open unit disk in C centered at 0. Let H∞ R denote the set of all bounded and holomorphic functions defined in D that also satisfy f (z) = f (z) for all z ∈ D. It is shown that H∞ R is a coherent ring.

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http://eprints.lse.ac.uk/37652/