On α-regular archimedean f-rings

DOI10.2478/S12175-011-0024-3zbMath1265.06059OpenAlexW1966016051MaRDI QIDQ3016464

Jorge Martinez, Anthony W. Hager

Publication date: 15 July 2011

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-011-0024-3

zbMATH Keywords

Archimedean \(f\)-ringshull classesrings of quotients\(\alpha \)-regularitybounded inversion propertylateral \(\alpha \)-completeness

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25)

Cites Work

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• Lattice ordered rings and function rings
• Groupes et anneaux reticules
• More on the laterally \(\sigma\)-complete reflection of an Archimedean lattice-ordered group
• \(\alpha\)-Specker spaces
• Functorial rings of quotients. III: The maximum in Archimedean \(f\)-rings
• The ring of \(\alpha \)-quotients.
• Polar functions. II: Completion classes of archimedean \(f\)-algebras vs. covers of compact spaces
• The maximal ring of quotient \(f\)-ring
• Hulls for various kinds of \(\alpha\)-completeness in Archimedean lattice-ordered groups
• The essential closure of an Archimedean lattice-ordered group
• On the structure of a class of archimedean lattice-ordered algebras
• The hulls of representablel-groups andf-rings

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