Dimension theory for generalized effect algebras.

DOI10.1007/s00012-013-0237-0zbMath1330.06003arXiv1206.3052OpenAlexW1995444401MaRDI QIDQ2376302

Sylvia Pulmannová, David J. Foulis

Publication date: 21 June 2013

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3052

zbMATH Keywords

centergeneralized effect algebrasexocentercentrally orthocomplete GEADedekind orthocomplete GEAdimension equivalencehull systemstype determining sets

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) Partial algebras (08A55)

Related Items (3)

Hull determination and type decomposition for a generalized effect algebra ⋮ The center of a generalized effect algebra. ⋮ Synaptic algebras as models for quantum mechanics

Cites Work

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• Effect algebras of positive linear operators densely defined on Hilbert spaces
• The exocenter of a generalized effect algebra
• Generalized effect algebras of bounded positive operators defined on Hilbert spaces
• Centrally orthocomplete effect algebras
• Generalized effect algebras of positive operators densely defined on Hilbert spaces
• Effect algebras and unsharp quantum logics.
• Subalgebras, intervals, and central elements of generalized effect algebras
• Subcentral ideals in generalized effect algebras
• Quotients of partial abelian monoids and the Riesz decomposition property.
• A Cantor-Bernstein type theorem for effect algebras.
• The center of an effect algebra
• Hull determination and type decomposition for a generalized effect algebra
• The center of a generalized effect algebra.
• Riesz ideals in generalized effect algebras and in their unitizations
• Hull mappings and dimension effect algebras
• The lattice theoretic background of the dimension theory of operator algebras
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
• Remarks on the order for quantum observables
• The complete dimension theory of partially ordered systems with equivalence and orthogonality
• Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices

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