Remarks on subrings ofC(X) of the formI+C*(X)

DOI10.2989/16073606.2017.1280708zbMath1422.54021OpenAlexW2591964500MaRDI QIDQ5236053

Mehdi Parsinia, A. R. Aliabad

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1280708

zbMATH Keywords

realcompactificationintermediate \(C\)-algebramaximal growing ideal

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 (9)

Unnamed Item ⋮ Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ ⋮ Intermediate rings of a class of ordered field valued continuous functions ⋮ Realcompact and Lindelöf extensions with compact remainder ⋮ Notes on a class of ideals in intermediate rings of continuous functions ⋮ Remarks on intermediate C-rings of C(X) ⋮ On the mappings ${\mathcal Z}_A$ and $\Im_A$ in intermediate rings of $C(X)$ ⋮ Unnamed Item ⋮ R-P-spaces and subrings of C(X)

Cites Work

• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• On two sum theorems for ideals of \(C(X)\)
• \(\sqrt z\)-ideals and \(\sqrt {z^{^\circ}}\)-ideals in \(C(X)\)
• On a class of subalgebras of $C(X)$ and the intersection of their free maximal ideals
• On Structure Spaces of Ideals In Rings of Continuous Functions
• On a class of subalgebras of C(X) with applications to βX\X
• On Isomorphisms Between Ideals in Rings of Continuous Functions
• Remarks on $LBI$-subalgebras of $C(X)$
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• Unnamed Item
• Unnamed Item

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