Pseudocomplemented lattice effect algebras and existence of states

DOI10.1016/j.ins.2008.07.019zbMath1166.03038OpenAlexW2054859123MaRDI QIDQ1010123

Zdenka Riečanová

Publication date: 3 April 2009

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2008.07.019

zbMATH Keywords

atomstatelattice effect algebrasharp elementpseudocomplement

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items

Unnamed Item ⋮ The pasting constructions for effect algebras ⋮ Logical connectives on lattice effect algebras ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Unnamed Item ⋮ Quotients of dimension effect algebras ⋮ A complete axiomatisation for the logic of lattice effect algebras ⋮ Some problems for sequential effect algebras ⋮ The pasting constructions of lattice ordered effect algebras ⋮ On special elements and pseudocomplementation in lattices with antitone involutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect algebras and unsharp quantum logics.
• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Interval and scale effect algebras
• 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
• Basic decomposition of elements and Jauch-Piron effect algebras
• Proper effect algebras admitting no states