Continuous lattice effect algebras admitting order-continuous states

DOI10.1016/S0165-0114(02)00141-0zbMath1022.03047MaRDI QIDQ1873677

Zdenka Riečanová

Publication date: 27 May 2003

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

zbMATH Keywords

order continuityMV-algebraeffect algebra

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Quantum logic (03G12) Ordered topological structures (06F30)

Related Items (21)

Pasting of lattice-ordered effect algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Effect algebraic extensions of generalized effect algebras and two-valued states ⋮ Unnamed Item ⋮ Compactly generated De Morgan lattices, basic algebras and effect algebras ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Torsion elements in effect algebras ⋮ Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Equational characterization for two-valued states in orthomodular quantum systems ⋮ Finite homogeneous and lattice ordered effect algebras ⋮ Two-valued states on Baer \(^\ast\)-semigroups ⋮ States on sharply dominating effect algebras ⋮ Some problems for sequential effect algebras ⋮ Sharp and meager elements in orthocomplete homogeneous effect algebras ⋮ The block structure of complete lattice ordered effect algebras ⋮ Pseudocomplemented lattice effect algebras and existence of states ⋮ Unnamed Item ⋮ Basic decomposition of elements and Jauch-Piron effect algebras ⋮ Characterization of homogeneity in orthocomplete atomic effect algebras

Cites Work

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