The role of the modular pairs in the category of complete orthomodular lattice

DOI10.1007/BF00959532zbMath0451.03024OpenAlexW1972018484WikidataQ58147681 ScholiaQ58147681MaRDI QIDQ1147697

C. Piron, Diederik Aerts

Publication date: 1979

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00959532

zbMATH Keywords

propositional systemscategory of complete orthomodular latticemodular pairs

Mathematics Subject Classification ID

Other nonclassical logic (03B60) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Special categories (18B99) Quantum logic (03G12) Complemented modular lattices, continuous geometries (06C20)

Related Items

A characterization of subsystems in physics, A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation, Bibliography on quantum logics and related structures

Cites Work

• A characterization of subsystems in physics
• The logic of quantum mechanics
• Any orthocomplemented complete modular lattice is a continuous geometry