The prime ideal theorem and representation of \(F\)-rings

DOI10.1007/BF01229983zbMath0654.06021OpenAlexW2057333509MaRDI QIDQ1108300

Bernhard Banaschewski

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01229983

zbMATH Keywords

subdirect productBirkhoff-Pierce Representation Theorem for F-ringsBoolean Prime Ideal Theoremtotally ordered rings

Mathematics Subject Classification ID

Consistency and independence results (03E35) Boolean algebras (Boolean rings) (06E99) Ordered rings, algebras, modules (06F25) Other set-theoretic hypotheses and axioms (03E65)

Related Items (2)

Ring theory and pointfree topology. ⋮ Finiteness conditions and distributive laws for Boolean algebras

Cites Work

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• Prime elements from prime ideals
• Almost maximal ideals
• The Power of the Ultrafilter Theorem
• Prime ideals yield almost maximal ideals

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