Quotients of dimension effect algebras

DOI10.1007/s00012-012-0165-4zbMath1238.06005OpenAlexW2050259388MaRDI QIDQ664310

Sylvia Pulmannová, David J. Foulis

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1007/s00012-012-0165-4

zbMATH Keywords

orthomodular posetorthomodular latticeeffect algebracentral coverdimension latticehull mapping

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 (2)

The center of a generalized effect algebra. ⋮ Synaptic algebras as models for quantum mechanics

Cites Work

• Centrally orthocomplete effect algebras
• Effect algebras and unsharp quantum logics.
• Pseudocomplemented lattice effect algebras and existence of states
• Filters and supports in orthoalgebras
• The transition to unigroups
• Interval and scale effect algebras
• Quotients of partial abelian monoids and the Riesz decomposition property.
• Lattices and ordered algebraic structures
• The center of an effect algebra
• Lattice uniformities on effect algebras
• Hull mappings and dimension effect algebras
• The lattice theoretic background of the dimension theory of operator algebras
• Algebraic Analysis of Many Valued Logics
• Orthocomplete effect algebras
• The block structure of complete lattice ordered effect algebras
• The complete dimension theory of partially ordered systems with equivalence and orthogonality
• Atomistic and orthoatomistic effect algebras
• Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices
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