On archimedean MV-algebras

DOI10.1023/A:1022436113418zbMath0951.06011OpenAlexW74825937MaRDI QIDQ4515322

Jan Jakubík

Publication date: 13 November 2000

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30438

zbMATH Keywords

\(MV\)-algebraabelian lattice ordered groupatomic \(MV\)-algebracomplete \(MV\)-algebra

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (12)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras ⋮ Unnamed Item ⋮ Top element problem and MacNeille completions of generalized effect algebras ⋮ On a homogeneity condition for MV-algebras ⋮ State-Homomorphisms on MV-Algebras ⋮ Higher Degrees of Distributivity in MV-Algebras ⋮ Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups ⋮ Complete generators and maximal completions of MV-algebras ⋮ Radical classes of MV-algebras

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Complete and atomic algebras of the infinite valued Łukasiewicz logic
• Convex chains in $l$-groups
• Direct product decomposition of $MV$-algebras
• On complete $MV$-algebras

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