Orthomodular lattices whose MacNeille completions are not orthomodular

DOI10.1007/BF00385817zbMath0749.06006MaRDI QIDQ1182045

John Harding

Publication date: 27 June 1992

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

orthomodular latticesMacNeille completion

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items (7)

States on systems of sets that are closed under symmetric difference ⋮ Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space ⋮ Computer proof of monotonicity of operations on orthomodular lattices ⋮ Lattice properties of subspace families in an inner product space ⋮ Order-topological separable complete modular ortholattices admit order continuous faithful valuations ⋮ Completions of orthomodular lattices. II ⋮ Quantum monadic algebras

Cites Work

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• Orthomodular lattices do not satisfy any special lattice equation
• Completions of orthomodular lattices
• Atomic orthocomplemented lattices
• SOME EQUATIONS RELATED TO STATES ON ORTHOMODULAR LATTICES
• The completion by cuts of an orthocomplemented modular lattice
• A remark on Piron's paper
• Partially Ordered Sets

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