\(n\)-perfect and \(\mathbb Q\)-perfect pseudo effect algebras

DOI10.1007/S10773-013-1723-ZzbMath1302.81034OpenAlexW2462948587MaRDI QIDQ472702

Yong-Jian Xie, Anatolij Dvurečenskij

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10773-013-1723-z

zbMATH Keywords

Riesz decomposition propertypo-groupstrong unitlexicographic productpseudo effect algebra\(n\)-perfect pseudo effect algebraunital po-group\(\mathbb Q\)-perfect pseudo effect algebra

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Algebraic aspects of posets (06A11) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (1)

Kite \(n\)-perfect pseudo effect algebras

Cites Work

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• On \(n\)-perfect GMV-algebras
• Algebraic foundations of many-valued reasoning
• Cyclic elements and subalgebras of GMV-algebras
• Perfect effect algebras are categorically equivalent with Abelian interpolation po-groups
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
• States on pseudo MV-algebras

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