Pseudo-effect algebras as total algebras

DOI10.1007/s10773-009-0093-zzbMath1204.81007OpenAlexW1986961536MaRDI QIDQ616843

Jan Kühr, Ivan Chajda

Publication date: 12 January 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0093-z

zbMATH Keywords

pseudo-effect algebracommutative directoidantiautomorphismcompatible elements

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Algebraic aspects of posets (06A11)

Related Items

State-morphism pseudo-effect algebras ⋮ Lattice pseudoeffect algebras as double residuated structures ⋮ On double basic algebras and pseudo-effect algebras ⋮ Congruences and ideals in pseudo effect algebras as total algebras

Cites Work

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• Directoids: Algebraic models of up-directed sets
• Many-valued quantum algebras
• Every effect algebra can be made into a total algebra
• Blocks of pseudo-effect algebras with the Riesz interpolation property
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations

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