Direct limits of generalized pseudo-effect algebras with the Riesz decomposition properties

DOI10.1007/s00500-018-3121-1zbMath1415.03060OpenAlexW2789326525MaRDI QIDQ2001160

Yanan Guo, Yong-Jian Xie

Publication date: 2 July 2019

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

Full work available at URL: https://doi.org/10.1007/s00500-018-3121-1

zbMATH Keywords

inverse limitsdirect limitsRiesz decomposition propertiesgeneralized pseudo-effect algebras

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)

Cites Work

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• Weak commutative pseudoeffect algebras
• Effect algebras and unsharp quantum logics.
• Subalgebras, intervals, and central elements of generalized effect algebras
• Quotients of partial abelian monoids and the Riesz decomposition property.
• Quotients of partial abelian monoids
• Unitizing a generalized pseudo effect algebra.
• Riesz ideals in generalized pseudo effect algebras and in their unitizations
• The exocenter and type decomposition of a generalized pseudoeffect algebra
• 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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