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

Dales, H.G. (1974) The ring of holomorphic functions on a Stein compact set as a unique factorization domain. Proceedings of the American Mathematical Society, 44 (1). pp. 88-92. ISSN 0002-9939

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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.

Item Type:
Journal Article
Journal or Publication Title:
Proceedings of the American Mathematical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
?? applied mathematicsgeneral mathematicsmathematics(all) ??
ID Code:
67733
Deposited By:
Deposited On:
27 Nov 2013 09:25
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 09:30