The block structure of complete lattice ordered effect algebras
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Publication:5452624
DOI10.1017/S1446788700036867zbMath1142.03035OpenAlexW2135033009MaRDI QIDQ5452624
Publication date: 4 April 2008
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788700036867
Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Quantum logic (03G12)
Related Items (7)
Logical connectives on lattice effect algebras ⋮ Quotients of dimension effect algebras ⋮ Quantum structures without group-valued measures ⋮ A complete axiomatisation for the logic of lattice effect algebras ⋮ A new view of relationship between atomic posets and complete (algebraic) lattices ⋮ 0-homogeneous effect algebras ⋮ Fractal properties of MV-algebra pastings.
Cites Work
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- Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
- \(S\)-dominating effect algebras
- Tensor products of orthoalgebras
- Interval and scale effect algebras
- A unified framework for the algebra of unsharp quantum mechanics
- Finite homogeneous and lattice ordered effect algebras
- Quotients of partial abelian monoids and the Riesz decomposition property.
- Continuous lattice effect algebras admitting order-continuous states
- Boolean algebras R-generated by MV-effect algebras
- Tensor products of \(D\)-posets and \(D\)-test spaces
- The center of an effect algebra
- A New Proof of the Completeness of the Lukasiewicz Axioms
- Operational Statistics. I. Basic Concepts
- Orthocomplete effect algebras
- Extension of a distributive lattice to a Boolean ring
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