Lattice effect algebras with (o)-continuous faithful valuations

DOI10.1016/S0165-0114(01)00102-6zbMath0997.03051MaRDI QIDQ1349203

Zdenka Riečanová

Publication date: 21 May 2002

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

MacNeille completionorder continuitylattice effect algebra

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (8)

Continuous lattice effect algebras admitting order-continuous states ⋮ Interval topology of lattice effect algebras ⋮ STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS ⋮ Compactly generated De Morgan lattices, basic algebras and effect algebras ⋮ Transitivity and equicontinuity in quantum measure spaces ⋮ States on sharply dominating effect algebras ⋮ Isomorphism theorems on generalized effect algebras based on atoms ⋮ Basic decomposition of elements and Jauch-Piron effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Non-classical logics and their applications to fuzzy subsets. A handbook of the mathematical foundations of fuzzy set theory. Proceedings of the 14th Linz seminar on fuzzy set theory held at Linz, Austria in the second week of September 1992
• Compatibility in D-posets
• Order-topological separable complete modular ortholattices admit order continuous faithful valuations
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
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