Ideals in ortholattices, Bell inequalities, and simultaneously definite properties

DOI10.1007/BF02435755zbMath0946.03078OpenAlexW2003240997WikidataQ58620704 ScholiaQ58620704MaRDI QIDQ1376459

Sylvia Pulmannová, Karl Svozil

Publication date: 18 December 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435755

zbMATH Keywords

observablesorthomodular latticescommutator idealsBell inequalitiesjoint distributionssemiprime idealspartial compatibilityquasiboolean algebrassimultaneously definite properties

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

• A uniqueness theorem for `no collapse' interpretations of quantum mechanics
• Semiprime ideals in general lattices
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Quasivarieties of orthomodular lattices and Bell inequalities
• Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2
• Bell-type inequalities in orthomodular lattices. II: Inequalities of higher order
• Boolean quotients of orthomodular lattices
• QuasiBoolean algebras and simultaneously definite properties in quantum mechanics
• Boolean embeddings of orthomodular sets and quantum logic
• The commutator and solvability in a generalized orthomodular lattice
• The Power of the Ultrafilter Theorem
• Bell inequalities on quantum logics
• Variants of RADO'S Selection Lemma and their Applications
• On the Problem of Hidden Variables in Quantum Mechanics
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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