Top element problem and MacNeille completions of generalized effect algebras

DOI10.1016/S0034-4877(15)60020-9zbMath1348.06007OpenAlexW2053648551MaRDI QIDQ2018749

Martin Kalina, Zdenka Riečanová

Publication date: 25 March 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)60020-9

zbMATH Keywords

effect algebraorthoalgebrageneralized effect algebraEA-MacNeille completion of a generalized effect algebraMacNeille completion of a posetone-element EA-extension of a generalized effect algebra

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

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• Effect algebras of positive linear operators densely defined on Hilbert spaces
• Generalized effect algebras of positive operators densely defined on Hilbert spaces
• Effect algebras and unsharp quantum logics.
• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Filters and supports in orthoalgebras
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• MacNeille completions of \(D\)-posets and effect algebras
• Hilbert space effect-representations of effect algebras
• Categorial characterization of the MacNeille completion
• On archimedean MV-algebras
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
• Partially Ordered Sets

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