Compositions of Sasaki projections

DOI10.1007/BF00671775zbMath0783.06006OpenAlexW1967578910MaRDI QIDQ685156

Sylvia Pulmannová, Georges Chevalier

Publication date: 30 September 1993

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

Full work available at URL: https://doi.org/10.1007/bf00671775

zbMATH Keywords

orthomodular latticequantum logicquantum measurementkernels of congruencesdimension latticeBaer \(^*\)-semigroupgeneralized parallelogram lawSasaki projectionsupport of a state

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)

Related Items (2)

Sasaki projections ⋮ Weaker forms of associativity in orthomodular lattices.

Cites Work

• Equivalence and perspectivity in Baer rings
• Left and right projections are equivalent in Rickart \(C^*\)-algebras
• Equivalence of projections in Baer*-rings
• Baer \(^ *\)-semigroups and the logic of quantum mechanics
• Semimodularity and the logic of quantum mechanics
• Relative inverses in Baer \({}^*\)-semigroups
• The lattice theoretic background of the dimension theory of operator algebras
• Congruence relations on orthomodular lattices
• Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices
• Baer ∗ -Semigroups
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