Stone Duality Type Theorems for MV-Algebras with Internal State

DOI10.1080/00927872.2010.531336zbMath1259.06015arXiv1006.1960OpenAlexW2104486202MaRDI QIDQ2881065

Anatolij Dvurečenskij, Ada Lettieri, Antonio Di Nola

Publication date: 3 April 2012

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

Full work available at URL: https://arxiv.org/abs/1006.1960

zbMATH Keywords

Boolean algebraStone dualityMV-algebrainternal statestate-morphism operatorBauer simplexstate MV-algebrastate-morphism MV-algebra

Mathematics Subject Classification ID

MV-algebras (06D35) Many-valued logic (03B50) Quantum logic (03G12)

Related Items (2)

STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ Loomis-Sikorski theorem and Stone duality for effect algebras with internal state

Cites Work

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• NP-containment for the coherence test of assessments of conditional probability: a fuzzy logical approach
• MV-algebras with internal states and probabilistic fuzzy logics
• On varieties of MV-algebras with internal states
• State-morphism MV-algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Averaging the truth-value in Łukasiewicz logic
• ON THE LOOMIS–SIKORSKI THEOREM FOR MV-ALGEBRAS WITH INTERNAL STATE
• On some classes of state-morphism MV-algebras
• Boolean Algebras with Operators. Part I

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