STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS

DOI10.1142/S0218488502001879zbMath1059.03079MaRDI QIDQ4824645

Zdenka Riečanová

Publication date: 1 November 2004

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

stateinterval topologyvaluationlattice effect algebraorder topology

Mathematics Subject Classification ID

Compactness (54D30) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Compact (locally compact) metric spaces (54E45) Quantum logic (03G12) Ordered topological structures (06F30)

Related Items (10)

Almost orthogonality and Hausdorff interval topologies of De Morgan lattices and lattice effect algebras ⋮ Order topology and Frink ideal topology of effect algebras ⋮ Transitivity and equicontinuity in quantum measure spaces ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Topologies on quantum states ⋮ Topologies on quantum effects ⋮ Type-decomposition of an effect algebra ⋮ Some problems for sequential effect algebras ⋮ Continuity of the sequential product of sequential quantum effect algebras ⋮ Weakly algebraic ideal topology of effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Order convergence in lattices
• Lattices and quantum logics with separated intervals, atomicity
• Lattice effect algebras with (o)-continuous faithful valuations
• Compatibility in D-posets
• Proper effect algebras admitting no states

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