On the factoriality of some rings of complex Nash functions

DOI10.1016/S0007-4497(01)01107-1zbMath1006.32009MaRDI QIDQ1599938

R. Smith

Publication date: 22 July 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

factorial ringsholomorphic convexitycomplex Nash functions

Mathematics Subject Classification ID

Normal analytic spaces (32C20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Real-analytic sets, complex Nash functions (32C07)

Related Items (2)

Approximation of holomorphic maps from Runge domains to affine algebraic varieties ⋮ Piecewise Weierstrass preparation and division for o-minimal holomorphic functions

Cites Work

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• On the extension of Nash functions
• The idempotency of the real spectrum implies the extension theorem for Nash functions
• Algebraic approximations in analytic geometry
• Polynomially and rationally convex sets
• The Ring of Holomorphic Functions on a Stein Compact Set as a Unique Factorization Domain
• Holomorphic Convexity of Compact Sets in Analytic Spaces and the Structure of Algebras of Holomorphic Germs
• A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms
• Approximation in Compact Nash Manifolds

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