The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states

DOI10.1007/S00500-010-0561-7zbMath1247.03135OpenAlexW2031963603MaRDI QIDQ422446

Zdenka Riečanová, Jan Paseka

Publication date: 16 May 2012

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-010-0561-7

zbMATH Keywords

stateMV-algebrabasic decomposition of elementsbifull sub-lattice effect algebrasharply dominating lattice effect algebra

Mathematics Subject Classification ID

Quantum logic (03G12)

Related Items (8)

Extensions of ordering sets of states from effect algebras onto their MacNeille completions ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ MacNeille completion of centers and centers of MacNeille completions of lattice effect algebras: Generic scheme behind ⋮ Sharply dominating MV-effect algebras ⋮ Characterization of homogeneity in orthocomplete atomic effect algebras

Cites Work

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• Subalgebras, intervals, and central elements of generalized effect algebras
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• Continuous lattice effect algebras admitting order-continuous states
• Compatibility in D-posets
• The center of an effect algebra
• De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
• Orthomodular lattices admitting no states
• Basic decomposition of elements and Jauch-Piron effect algebras
• On some classes of state-morphism MV-algebras
• Orthocomplete effect algebras
• STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS
• Proper effect algebras admitting no states

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