Representation of real Riesz maps on a strong \(f\)-ring by prime elements of a frame

DOI10.1007/s00012-018-0503-2zbMath1469.06014OpenAlexW2797307421MaRDI QIDQ1646619

Batool Emamverdi, Abolghasem Karimi Feizabadi, Ali Akbar Estaji

Publication date: 25 June 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-018-0503-2

zbMATH Keywords

frameDedekind cutlattice-valued mapstrong f-ring

Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25)

Related Items (3)

Pre-image of functions in $C(L)$ ⋮ Unnamed Item ⋮ Further thoughts on the ring \(\mathcal{R}_c(L)\) in frames

Cites Work

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• Pointfree spectra of Riesz spaces
• On the function ring functor in pointfree topology
• Zero sets in pointfree topology and strongly \(z\)-ideals
• Pointfree prime representation of real Riesz maps
• Strongly fixed ideals in $ C (L)$ and compact frames
• Frames and Locales

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