Interval topology of lattice effect algebras

DOI10.1016/j.aml.2009.01.008zbMath1179.81017OpenAlexW2012537613MaRDI QIDQ845619

Qiang Lei, Ronglu Li, Junde Wu

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.008

zbMATH Keywords

atominterval topologylattice effect algebra\(MV\)-effect algebracontinuity of operations

Mathematics Subject Classification ID

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

Related Items (7)

Convexity-preserving properties of partial binary operations with respect to filter convex structures on effect algebras ⋮ Interval convexity of scale effect algebras ⋮ Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras ⋮ Generalized effect algebras of positive self-adjoint linear operators on Hilbert spaces ⋮ 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.
• Lattice effect algebras with (o)-continuous faithful valuations
• Continuity of effect algebra operations in the interval topology
• D-lattices
• Compatibility in D-posets
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