The classical ring of quotients of $C_c(X)$

DOI10.4995/agt.2014.3181zbMath1305.54030OpenAlexW2002115224MaRDI QIDQ2922052

Papiya Bhattacharjee, Michelle L. Knox, Warren Wm. McGovern

Publication date: 9 October 2014

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

Full work available at URL: https://doi.org/10.4995/agt.2014.3181

zbMATH Keywords

zero-dimensional spacering of quotientsring of continuous functions

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Rings of fractions and localization for commutative rings (13B30)

Related Items

On CP-frames ⋮ On the locally functionally countable subalgebra of C(X) on locally functionally countable subalgebra of C(X) ⋮ Intrinsic characterizations of C-realcompact spaces ⋮ On some properties of the space of minimal prime ideals of 𝐶𝑐 (𝑋) ⋮ On maximal ideals of \(C_c(X)\) and the uniformity of its localizations ⋮ Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ ⋮ Intermediate rings of a class of ordered field valued continuous functions ⋮ Locally functionally countable subalgebra of $\mathcal{R}(L)$ ⋮ On c-realcompact spaces ⋮ Unnamed Item ⋮ Rings and subrings of continuous functions with countable range ⋮ On countably uniform closed-spaces ⋮ Further thoughts on the ring \(\mathcal{R}_c(L)\) in frames

Cites Work

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• On the functionally countable subalgebra of \(C(X)\)
• Rings of quotients of rings of functions
• Cozero complemented spaces; when the space of minimal prime ideals of a \(C(X)\) is compact
• Shorter Notes: Two Easy Examples of Zerodimensional Spaces
• Continuous Functions on Compact Spaces Without Perfect Subsets
• Unique a-closure for some ℓ-groups of rational valued functions
• Rigid extensions of ℓ-groups of continuous functions

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