Decomposition of pseudo-effect algebras and the Hammer-Sobczyk theorem

DOI10.1007/s11083-015-9380-xzbMath1361.06002OpenAlexW2244472964MaRDI QIDQ2520721

Giuseppina Barbieri, Paolo Vitolo, Anna Avallone, Hans Weber

Publication date: 16 December 2016

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-015-9380-x

zbMATH Keywords

pseudo-effect algebrapseudo-D-latticemodular measureD-uniformityHammer-Sobczyk decompositionlattice topologylattice uniformity

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum logic (03G12) Other connections with logic and set theory (28E15)

Related Items (2)

An Aumann-Shapley type operator in pseudo-D-lattices ⋮ Pseudo-D-lattices and separating points of measures

Cites Work

• Weak commutative pseudoeffect algebras
• Decomposition of effect algebras and the Hammer-Sobczyk theorem
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• On modular functions
• Generalized Sasaki projections and Riesz ideals in pseudoeffect algebras
• Complemented uniform lattices
• Pseudo difference posets and pseudo Boolean D-posets
• Lebesgue decomposition and Bartle-Dunford-Schwartz theorem in pseudo-D-lattices
• On lattices of uniformities
• Congruences and ideals in pseudoeffect algebras
• TYPE DECOMPOSITION OF A PSEUDOEFFECT ALGEBRA
• Die atomare Struktur topologischer Boolescher Ringe und s-beschränkter Inhalte
• Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Lattice uniformities on pseudo-D-lattices
• Isometries and direct decompositions of pseudo MV-algebras
• A decomposition of additive set functions
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
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