Torsion elements in effect algebras

DOI10.1007/s00500-011-0712-5zbMath1237.03039OpenAlexW2045792929MaRDI QIDQ416296

Xiao Long Xin, Wei Ji

Publication date: 10 May 2012

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-011-0712-5

zbMATH Keywords

Riesz decomposition propertyBasic decomposition of an elementEffect algebraOrthocompleteSharp element

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items

Fuzzy implications in lattice effect algebras ⋮ Meager projections in orthocomplete homogeneous effect algebras ⋮ Hyper-commutators in effect algebras ⋮ Characterization of homogeneity in orthocomplete atomic effect algebras

Cites Work

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• Effect algebras and unsharp quantum logics.
• States on sharply dominating effect algebras
• 0-homogeneous effect algebras
• Quotients of partial abelian monoids and the Riesz decomposition property.
• Smearings of states defined on sharp elements onto effect algebras
• Continuous lattice effect algebras admitting order-continuous states
• Sharp and meager elements in orthocomplete homogeneous effect algebras
• Basic decomposition of elements and Jauch-Piron effect algebras
• Blocks of homogeneous effect algebras
• Bases for Chain-complete Posets
• Orthocomplete effect algebras
• Atomistic and orthoatomistic effect algebras

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