On set-representable orthocomplemented difference lattices

DOI10.1007/S11083-020-09522-7zbMath1456.06009OpenAlexW3010027235MaRDI QIDQ2006986

Jianning Su

Publication date: 12 October 2020

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-020-09522-7

zbMATH Keywords

orthomodular latticeconcretelocally finiteorthocomplemented latticeorthocomplemented difference latticeset-representableOML-embeddable

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 (4)

A symmetric-difference-closed orthomodular lattice that is stateless ⋮ Generalized \(\mathbb{XOR}\) operation and the categorical equivalence of the abbott algebras and quantum logics ⋮ On locally finite orthomodular lattices ⋮ Quantum logics that are symmetric-difference-closed

Cites Work

• Orthocomplemented posets with a symmetric difference
• Orthocomplemented lattices with a symmetric difference
• Remarks on concrete orthomodular lattices
• The free orthomodular lattice on countably many generators is a subalgebra of the free orthomodular lattice on three generators.
• Noncommutative symmetric differences in orthomodular lattices
• On identities in orthocomplemented difference lattices
• A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES
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