Completions of orthomodular lattices

DOI10.1007/BF00383174zbMath0792.06009MaRDI QIDQ1325964

Richard J. Greechie, John Harding, Günter Bruns, Micheale Susan Roddy

Publication date: 26 July 1994

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

orthomodular latticesMacNeille completionvariety of algebras

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Varieties of lattices (06B20)

Related Items (12)

Properties of Boolean orthoposets ⋮ Partially additive measures and set representations of orthoposets ⋮ Completeness of the bounded Boolean powers of orthomodular lattices ⋮ Topological and order-topological orthomodular lattices ⋮ Profinite Orthomodular Lattices ⋮ Orthomodular lattices whose MacNeille completions are not orthomodular ⋮ Order-topological separable complete modular ortholattices admit order continuous faithful valuations ⋮ Block-finite atomic orthomodular lattices ⋮ Irreducible orthomodular lattices which are simple ⋮ Obituary: Günter Bruns ⋮ Residuated structures and orthomodular lattices ⋮ Completions of orthomodular lattices. II

Cites Work

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• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Indexed orthomodular lattices
• Atomic orthocomplemented lattices
• Hüllensysteme und Erweiterung von Quasi‐Ordnungen
• Algebras Whose Congruence Lattices are Distributive.
• The completion by cuts of an orthocomplemented modular lattice
• A remark on Piron's paper
• Partially Ordered Sets
• On the completion by cuts of distributive lattices

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