Intermediate rings of complex-valued continuous functions

DOI10.4995/agt.2021.13165zbMath1472.54007arXiv2001.09659OpenAlexW3146057351MaRDI QIDQ5000071

Joshua Sack, Sudip Kumar Acharyya, Sagarmoy Bag, Amrita Acharyya

Publication date: 5 July 2021

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

Full work available at URL: https://arxiv.org/abs/2001.09659

zbMATH Keywords

algebraically closed field\(z\)-idealszero divisor graph\(z^\circ\)-ideals\(C\)-type rings

Mathematics Subject Classification ID

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

Cites Work

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• A correspondence between ideals and \(z\)-filters for certain rings of continuous functions -- some remarks
• Prime and maximal ideals in subrings of C(X)
• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• Algebraic properties of some compact spaces
• When the family of functions vanishing at infinity is an ideal of \(C(X)\).
• \(P\)-spaces and intermediate rings of continuous functions
• Considering semi-clean rings of continuous functions
• Zero-divisor graph of \(C(X)\)
• Maximal Ideals in Subalgebras of C(X)
• Some new results on functions inC(X) having their support on ideals of closed sets
• A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian
• On a class of subalgebras of C(X) with applications to βX\X
• Supports of Continuous Functions
• An Application of Valuation Theory to Rings of Continuous Real and Complex-Valued Functions