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

Dales, H. G.

doi:10.1090/S0002-9939-1974-0333245-4

The ring of holomorphic functions on a Stein compact set as a unique factorization domain
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by H. G. Dales PDF

Proc. Amer. Math. Soc. 44 (1974), 88-92 Request permission

Abstract:

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

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