Global Ideal Theory of Meromorphic Function Fields

DOI10.2307/1998110zbMath0393.46044OpenAlexW4249511969MaRDI QIDQ4176019

Norman L. Alling

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998110

zbMATH Keywords

Maximal Ideal SpaceRiemann SurfacesFractional Ideal TheoryGlobal Ideal TheoryGroup of DivisorsLattice Ordered GroupsMeromorphic Function FieldsPseudogenerator

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Quasi-analytic and other classes of functions of one complex variable (30D60) Riemann surfaces (30F99)

Related Items (3)

The cardinal Krull dimension of a ring of holomorphic functions ⋮ Gelfand-Kolmogoroff theorem for rings of analytic functions ⋮ Rings which resemble rings of entire functions

Cites Work

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• Ultraproducts in the theory of models
• On the meromorphic function field of a Stein variety
• The valuation theory of meromorphic function fields over open Riemann surfaces
• Divisibility properties of integral functions
• On the ideal structure of the ring of entire functions
• On the prime ideals of the ring of entire functions
• Zur Idealtheorie der ganzen Funktionen. In memoriam Hermann Ludwig Schmid
• Primary Ideals in Rings of Analytic Functions
• Rings of Meromorphic Functions on Non-Compact Riemann Surfaces
• On rings of analytic functions
• Rings of Real-Valued Continuous Functions. I
• Ideal theory on open Riemann surfaces

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