On Generating Distributive Sublattices of Orthomodular Lattices

DOI10.2307/2041234zbMath0371.06008OpenAlexW4240937507MaRDI QIDQ4146764

Richard J. Greechie

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041234

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of von Neumann algebras (46L10) Structure and representation theory of distributive lattices (06D05) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items (11)

A characterization of the Aerts product of Hilbertian lattices ⋮ Sasaki projections ⋮ Orthomodular lattices as \(L\)-algebras ⋮ Decidability in orthomodular lattices ⋮ Unnamed Item ⋮ Computer proof of monotonicity of operations on orthomodular lattices ⋮ Profinite Orthomodular Lattices ⋮ Bibliography on quantum logics and related structures ⋮ The Square of Opposition in Orthomodular Logic ⋮ New operations on orthomodular lattices: ``Disjunction and ``conjunction induced by Mackey decompositions ⋮ Weaker forms of associativity in orthomodular lattices.

Cites Work

• Distributivity and Perspectivity in Orthomodular Lattices
• A Radon-Nikodym Theorem in Dimension Lattices
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