The Ring of Holomorphic Functions on a Stein Compact Set as a Unique Factorization Domain

DOI10.2307/2039233zbMath0302.32018OpenAlexW4250380692MaRDI QIDQ4056861

H. Garth Dales

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039233

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Stein spaces (32E10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (4)

Hardy spaces for a class of singular domains ⋮ Pseudoconvexity in the theory of complex spaces ⋮ Meromorphic functions and factoriality ⋮ On the factoriality of some rings of complex Nash functions

Cites Work

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• Points de platitude d'un morphisme d'espaces analytiques complexes
• Variétés analytiques réelles et variétés analytiques complexes
• Hilbert Nullstellensatz in Global Complex-Analytic Case
• Noetherianness of Rings of Holomorphic Functions on Stein Compact Subsets

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