Ring ideals and the Stone-Čech compactification in pointfree topology

DOI10.1016/j.jpaa.2010.02.019zbMath1206.06005OpenAlexW2059205268MaRDI QIDQ989071

Mark Sioen, Bernhard Banaschewski

Publication date: 27 August 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.019

zbMATH Keywords

frameJacobson radical idealspointfree ring of continuous functionsStone-Čech compactification of a frame

Mathematics Subject Classification ID

Compactness (54D30) Frames, locales (06D22) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25)

Related Items (9)

On CP-frames ⋮ On the Dini and Stone-Weierstrass properties in pointfree topology. ⋮ zc-ideals and prime ideals in the ring RcL ⋮ Finite frames, \(P\)-frames and basically disconnected frames ⋮ Concerning maximal \(\ell\)-ideals of rings of continuous integer-valued functions. ⋮ \(\ell\)-ring aspects of compactification in pointfree topology ⋮ \(z\)-ideals in the real continuous function ring \(\mathcal{R}(L_{\tau}) \) ⋮ An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof ⋮ Ideals of functions with compact support in the integer-valued case

Cites Work

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• On the function ring functor in pointfree topology
• Groupes et anneaux reticules
• Ring theory and pointfree topology.
• Lattice Aspects of Radical Ideals and Choice Principles
• Functorial maximal spectra

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