A direct product decomposition of QMV algebras

DOI10.1007/S11425-011-4310-XzbMath1239.81019OpenAlexW2253126797MaRDI QIDQ424333

Xian Lu, Yun Shang, Ru-qian Lu

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4310-x

zbMATH Keywords

idempotentdecomposition theoremcommutativityQMV algebra

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

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• Type-decomposition of an effect algebra
• Effect algebras and unsharp quantum logics.
• Quantum MV-algebras and commutativity
• Reasoning in quantum theory. Sharp and unsharp quantum logics.
• Quasilinear QMV algebras
• Quantum MV algebras
• Weakly linear quantum MV-algebras
• Atomic orthocomplemented lattices
• TYPE DECOMPOSITION OF A PSEUDOEFFECT ALGEBRA
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Decomposition theorems in orthomodular posets: The problem of uniqueness

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