Decompositions of measures on pseudo effect algebras

DOI10.1007/S00500-011-0696-1zbMath1244.03170arXiv1009.0853OpenAlexW1987356885MaRDI QIDQ416274

Anatolij Dvurečenskij

Publication date: 10 May 2012

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

Full work available at URL: https://arxiv.org/abs/1009.0853

zbMATH Keywords

Lebesgue decompositionYosida-Hewitt decompositionsigned measurestatesimplexRiesz decomposition propertypseudo effect algebrafinitely additive measuresJordan unital po-group

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Other connections with logic and set theory (28E15)

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Cites Work

• Noncommutative Decomposition Theorems in Riesz Spaces
• Weakly Purely Finitely Additive Measures
• Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Every state on interval effect algebra is integral
• Finitely Additive Measures
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
• States on pseudo MV-algebras
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