A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

DOI10.4995/agt.2015.3247zbMath1345.54015OpenAlexW1974124403MaRDI QIDQ5246394

Kshitish Chandra Chattopadhyay, Pritam Rooj, Sudip Kumar Acharyya

Publication date: 21 April 2015

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2015.3247

zbMATH Keywords

zero-dimensional spaceNoetherian ringArtinian ringtotally ordered fieldpseudocompact supportrelatively pseudocompact support

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (5)

Ordered field valued continuous functions with countable range ⋮ Some new characterizations of finite frames and \(F\)-frames ⋮ Rings and subrings of continuous functions with countable range ⋮ Intermediate rings of complex-valued continuous functions ⋮ A note on ideals of \(C_\infty(X)\)

Cites Work

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• Prime ideals in rings of continuous functions
• Constructing Banaschewski compactification without Dedekind completeness axiom
• Ideals in rings of continuous functions
• Applications of the Theory of Boolean Rings to General Topology
• Rings of Real-Valued Continuous Functions. I

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