Representations of pseudo Vitali spaces and Loomis–Sikorski theorem

DOI10.1080/03081079.2010.505035zbMath1226.06007OpenAlexW2060775031MaRDI QIDQ3086369

Flavia Ventriglia, Anatolij Dvurečenskij

Publication date: 30 March 2011

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081079.2010.505035

zbMATH Keywords

lattice-ordered groupMV-algebraLoomis-Sikorski theoremVitali space

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered groups (06F15)

Cites Work

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• Algebras in the positive cone of po-groups
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Tensor products and the Loomis-Sikorski theorem for MV-algebras
• Concerning cone algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
• States on pseudo MV-algebras

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