Weak commutative pseudoeffect algebras

DOI10.1007/s10773-010-0515-yzbMath1273.03176OpenAlexW2056039576WikidataQ62038184 ScholiaQ62038184MaRDI QIDQ539541

Fang Ren, Yong-Ming Li, Yong-Jian Xie, De-Chao Li, Jian-Sheng Guo

Publication date: 30 May 2011

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

Full work available at URL: https://doi.org/10.1007/s10773-010-0515-y

zbMATH Keywords

pseudoeffect algebrageneralized pseudo difference posetgeneralized pseudoeffect algebrapseudo difference poset

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

Uniqueness of algebraic unitizations of generalized pseudo effect algebras, Unitizations of generalized pseudo effect algebras and their ideals, On a new construction of pseudo effect algebras, Pseudo-D-lattices and Lyapunov measures, Discrete \((n+1)\)-valued states and \(n\)-perfect pseudo-effect algebras., Prelattice-generalized pseudo-effect algebras, Congruences and ideals in generalized pseudoeffect algebras revisited, Direct limits of generalized pseudo-effect algebras with the Riesz decomposition properties, Decomposition of pseudo-effect algebras and the Hammer-Sobczyk theorem, Generalized pseudo-EMV-effect algebras, Unitizing a generalized pseudo effect algebra.

Cites Work

• Effect algebras and unsharp quantum logics.
• Algebras in the positive cone of po-groups
• Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
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