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The ring of holomorphic functions on a Stein compact set as a unique factorization domain

H. G. Dales

Source record

Source: Crossref

Published: May 1, 1974

DOI: 10.1090/s0002-9939-1974-0333245-4

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Source abstract

Let Γ \Gamma be the ring of germs of analytic functions on a Stein compact subset K K of a complex-analytic space. Necessary and sufficient conditions on K K for Γ \Gamma to be a unique factorization domain are given.

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The ring of holomorphic functions on a Stein compact set as a unique factorization domain — Mathematical Frontier Network