Completions of orthomodular lattices. II

DOI10.1007/BF01110549zbMath0804.06012OpenAlexW4230874796MaRDI QIDQ1318352

John Harding

Publication date: 27 March 1994

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01110549

zbMATH Keywords

orthomodular latticesMacNeille completionvariety

Mathematics Subject Classification ID

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

Related Items (4)

Order-topological separable complete modular ortholattices admit order continuous faithful valuations ⋮ Boolean products of lattices ⋮ Residuated structures and orthomodular lattices ⋮ Hyper-MacNeille completions of Heyting algebras

Cites Work

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• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Orthomodular lattices whose MacNeille completions are not orthomodular
• Irreducible orthomodular lattices which are simple
• Completions of orthomodular lattices
• Representations by algebras of sections over Boolean spaces
• Atomic orthocomplemented lattices
• Hüllensysteme und Erweiterung von Quasi‐Ordnungen
• Model-completeness for sheaves of structures
• Modules over commutative regular rings
• Algebras Whose Congruence Lattices are Distributive.
• The completion by cuts of an orthocomplemented modular lattice
• Partially Ordered Sets

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