The valuation theory of meromorphic function fields over open Riemann surfaces

DOI10.1007/BF02391855zbMath0146.42104OpenAlexW2081075995MaRDI QIDQ2524341

Norman L. Alling

Publication date: 1963

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02391855

zbMATH Keywords

algebraic geometry

Related Items

Global Ideal Theory of Meromorphic Function Fields, Rings of Continuous Integer-Valued Functions and Nonstandard Arithmetic, On B-type open-closed Landau-Ginzburg theories defined on Calabi-Yau Stein manifolds, The cardinal Krull dimension of a ring of holomorphic functions, Restricted ideals in rings of analytic functions, Primary Ideals in Rings of Analytic Functions, Rings which resemble rings of entire functions, Extensions of meromorphic function rings over noncompact Riemann surfaces. I, II, Rings of meromorphic functions

Cites Work

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• Ultraproducts in the theory of models
• 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
• Rings of Analytic and Meromorphic Functions
• Zur Idealtheorie der ganzen Funktionen. In memoriam Hermann Ludwig Schmid
• A CHARACTERIZATION OF ABELIAN η _α -GROUPS IN TERMS OF THEIR NATURAL VALUATION
• On the Existence of Real-Closed Fields That Are η α -Sets of Power ℵ α
• An Application of Valuation Theory to Rings of Continuous Real and Complex-Valued Functions
• Rings of Real-Valued Continuous Functions. I
• Ideal theory on open Riemann surfaces