An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof

DOI10.1515/form.2011.129zbMath1284.06021OpenAlexW2328199533MaRDI QIDQ2836446

Jorge Martinez

Publication date: 3 July 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.129

zbMATH Keywords

framesradical idealsframe homomorphismsweakly closed mapsnatural isomorphisms\(s\)-mapsgoing-up property

Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21)

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Cites Work

• Epicompletion in frames with skeletal maps. III: When maps are closed
• Ring ideals and the Stone-Čech compactification in pointfree topology
• Regularity in algebraic frames
• The going up and going down theorems in MV-algebras and abelian \(l\)-groups
• Nuclear typing of frames vs spatial selectors
• Yosida frames
• Prime Ideal Structure in Commutative Rings
• Functorial maximal spectra