Order-topological separable complete modular ortholattices admit order continuous faithful valuations

DOI10.1090/S0002-9939-98-04072-6zbMath0896.06009MaRDI QIDQ4372748

Zdenka Riečanová

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

MacNeille completionorthomodular latticevaluationfinitely additive measureorder topologyorder convergencemodular ortholatticeatomic orthomodular lattice(o)-continuity

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum logic (03G12) Ordered topological structures (06F30)

Related Items (2)

Continuous lattice effect algebras admitting order-continuous states ⋮ Lattice effect algebras with (o)-continuous faithful valuations

Cites Work

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• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Orthomodular lattices whose MacNeille completions are not orthomodular
• Completions of orthomodular lattices. II
• Completions of orthomodular lattices
• Order-topological complete orthomodular lattices
• Indexed orthomodular lattices
• Any orthocomplemented complete modular lattice is a continuous geometry
• Topological and order-topological orthomodular lattices
• Free Ortholattices
• The completion by cuts of an orthocomplemented modular lattice
• Continuous Geometry

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