A compactness property of Dedekind \(\sigma\)-complete \(f\)-rings

DOI10.1007/BF01233921zbMath0901.06017OpenAlexW1967624576MaRDI QIDQ1272246

Friedrich Wehrung

Publication date: 24 November 1998

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

Full work available at URL: https://doi.org/10.1007/bf01233921

zbMATH Keywords

first-order languagesBoolean models\(\sigma\)-complete Boolean algebrasDedekind \(\sigma\)-complete \(f\)-rings

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90) Equational compactness (08A45)

Related Items (1)

Equational compactness of bi-frames and projection algebras

Cites Work

• Boolean-linear spaces
• Injective positively ordered monoids. I
• Groupes et anneaux reticules
• Equational compactness in equational classes of algebras
• Commutative regular rings and Boolean-valued fields
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Boolean universes above Boolean models
• Bounded countable atomic compactness of ordered groups
• Equationally compact algebras (I)
• Some constructions of compact algebras
• Equationally compact algebras II
• A General Theory of Spectra

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