Sharply dominating MV-effect algebras

DOI10.1007/s10773-010-0338-xzbMath1280.03060OpenAlexW2091025439MaRDI QIDQ539530

Vladimír Olejček, Jan Paseka, Martin Kalina, Zdenka Riečanová

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0338-x

zbMATH Keywords

lattice effect algebraMV-effect algebraArchimedean MV-effect algebraatomic MV-effect algebrascomplete MV-effect algebrasharp elementsharply dominating effect algebra

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) MV-algebras (06D35) Quantum logic (03G12)

Related Items (2)

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Cites Work

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• The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states
• States on sharply dominating effect algebras
• \(S\)-dominating effect algebras
• Subdirect decompositions of lattice effect algebras
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Subalgebras, intervals, and central elements of generalized effect algebras
• Difference posets in the quantum structures background
• Smearings of states defined on sharp elements onto effect algebras
• Compatibility in D-posets
• The center of an effect algebra
• Basic decomposition of elements and Jauch-Piron effect algebras
• Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras

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