Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras

zbMath1229.03055arXiv0908.3288MaRDI QIDQ3085430

Zdenka Riečanová, Junde Wu, Jan Paseka

Publication date: 31 March 2011

Full work available at URL: https://arxiv.org/abs/0908.3288

zbMATH Keywords

interval topologyeffect algebraorder topologyconvergence of nets

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Quantum logic (03G12)

Related Items

Almost orthogonality and Hausdorff interval topologies of De Morgan lattices and lattice effect algebras ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Sharply dominating MV-effect algebras ⋮ Some problems for sequential effect algebras ⋮ Fractal properties of MV-algebra pastings. ⋮ Weakly algebraic ideal topology of effect algebras

Cites Work

• Compactly generated De Morgan lattices, basic algebras and effect algebras
• Block-finite atomic orthomodular lattices
• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Interval topology of lattice effect algebras
• Order convergence in lattices
• Lattices and quantum logics with separated intervals, atomicity
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Smearings of states defined on sharp elements onto effect algebras
• Continuous lattice effect algebras admitting order-continuous states
• Compatibility in D-posets
• The center of an effect algebra
• State smearing theorems and the existence of states on some atomic lattice effect algebras
• Algebraic Analysis of Many Valued Logics
• Remarks on Boolean algebras
• Topology in Lattices
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