Gelfand-Kolmogoroff theorem for rings of analytic functions

DOI10.1016/j.topol.2016.12.018zbMath1357.54023arXiv1510.03242OpenAlexW2567827694MaRDI QIDQ505380

Bedanta Bose, Mayukh Mukherjee

Publication date: 20 January 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03242

zbMATH Keywords

compactificationKrull dimensionanalytic function ringdiscrete \(z\)-ultrafiltersprime ideal chaintopology of maximal ideal space

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Algebras of analytic functions of one complex variable (30H50)

Cites Work

• Unnamed Item
• The existence of far points in the growth of the Sorgenfrey line
• Henriksen's contributions to residue class rings of analytic and entire functions
• Some curiosities of rings of analytic functions
• On Levi's problem and the imbedding of real-analytic manifolds
• Stone-Čech compactification of a product
• 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
• Residue class rings of real-analytic and entire functions
• Uncountable families of prime z -ideals in 𝒞₀ (ℝ)
• Global Ideal Theory of Meromorphic Function Fields
• The kernels of radical homomorphisms and intersections of prime ideals
• On the Ring of Holomorphic Functions on an Open Riemann Surface
• Prime z-ideal structure of C(R)
• Prime z-Filters on Completely Regular Spaces
• Remote Points in βR

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