Some curiosities of rings of analytic functions

DOI10.1016/0022-4049(85)90014-3zbMath0584.30046OpenAlexW2064261479MaRDI QIDQ1070382

Christian U. Jensen

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90014-3

zbMATH Keywords

global dimensionKrull dimensionstable ringsrings of analytic functions

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Continuum hypothesis and Martin's axiom (03E50) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Power series rings (13J05)

Related Items (6)

A Dedekind Domain with Nontrivial Class Group ⋮ On a Banach algebra of entire functions with a weighted Hadamard multiplication ⋮ Henriksen's contributions to residue class rings of analytic and entire functions ⋮ THE ZIEGLER SPECTRUM OF THE RING OF ENTIRE COMPLEX VALUED FUNCTIONS ⋮ Gelfand-Kolmogoroff theorem for rings of analytic functions ⋮ Bezout domains with stable range 1

Cites Work

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• Stable rank of rings and dimensionality of topological spaces
• On the prime ideals of the ring of entire functions
• Théorie des modèles pour des anneaux de fonctions entières et des corps de fonctions méromorphes
• Martin's Axiom and Saturated Models
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Ideal theory on open Riemann surfaces

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