Test groups and effect algebras

DOI10.1007/BF02302408zbMath0856.03048MaRDI QIDQ1919232

David J. Foulis, Mary Katherine Bennett, Richard J. Greechie

Publication date: 24 February 1997

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

zbMATH Keywords

algebraic closurequotientseffect algebrasuniversal grouppartially ordered Abelian groupinterval effect algebratest groupD-test spaces

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Quotients of interval effect algebras ⋮ Effect test spaces

Cites Work

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• Tensor products in generalized measure theory
• Tensor products of orthoalgebras
• Logicoalgebraic structures. II: Supports in test spaces
• Sums and products of interval algebras
• Interval and scale effect algebras
• D-test spaces and difference posets
• Tensor products of \(D\)-posets and \(D\)-test spaces
• Transition to effect algebras
• Representations of D-posets
• Effect algebras and tensor products of \(S\)-sets
• The center of an effect algebra
• On Dilworth's theorem in the infinite case
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Tensor Product of Difference Posets

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