Residuated semigroups and the algebraic foundations of quantum mechanics

DOI10.1007/s10773-005-8021-3zbMath1110.81019OpenAlexW2059434734MaRDI QIDQ861646

Leopoldo Román

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/s10773-005-8021-3

zbMATH Keywords

quantum logicquantaleOrthomodular latticeresiduated semigroup

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered semigroups and monoids (06F05) Quantum logic (03G12)

Related Items (2)

The points and diameters of quantales ⋮ The MacNeille completions for residuated \(S\)-posets

Cites Work

• Quantales and their sheaves
• Quantifiers and orthomodular lattices
• The logic of quantum mechanics
• Quantum Mechanics and Hilbert Space
• Quantum logic as an implication algebra
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