The center of an effect algebra
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Publication:1917672
DOI10.1007/BF01108592zbMath0846.03031OpenAlexW2027037268MaRDI QIDQ1917672
Sylvia Pulmannová, Richard J. Greechie, David J. Foulis
Publication date: 22 September 1996
Published in: Order (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01108592
Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Boolean algebras with additional operations (diagonalizable algebras, etc.) (06E25) Partial algebras (08A55) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (67)
Continuous lattice effect algebras admitting order-continuous states ⋮ Pasting of lattice-ordered effect algebras ⋮ Unnamed Item ⋮ Quotients of interval effect algebras ⋮ Examples, problems, and results in effect algebras ⋮ Unnamed Item ⋮ Boolean algebras R-generated by MV-effect algebras ⋮ Sharp and principal elements in effect algebras ⋮ Dimension theory for generalized effect algebras. ⋮ Finitely generated varieties of distributive effect algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Remarks on effect-tribes ⋮ Transition to effect algebras ⋮ The universal group of a Heyting effect algebra ⋮ Compression bases in unital groups ⋮ Central elements of atomic effect algebras ⋮ Finite modular effect algebras ⋮ The pasting constructions for effect algebras ⋮ Test groups and effect algebras ⋮ Atomic effect algebras with the Riesz decomposition property ⋮ An algebraic axiomatization of orthogonal posets. ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Triple representation theorem for orthocomplete homogeneous effect algebras ⋮ Hull determination and type decomposition for a generalized effect algebra ⋮ Notes on sharp and principal elements in effect algebras ⋮ Unnamed Item ⋮ Atomic sequential effect algebras ⋮ Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Joins and meets in effect algebras ⋮ The join of the variety of MV-algebras and the variety of orthomodular lattices ⋮ Unnamed Item ⋮ The exocenter of a generalized effect algebra ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The center of a generalized effect algebra. ⋮ Quotients of dimension effect algebras ⋮ MacNeille completion of centers and centers of MacNeille completions of lattice effect algebras: Generic scheme behind ⋮ TYPE DECOMPOSITION OF A PSEUDOEFFECT ALGEBRA ⋮ A complete axiomatisation for the logic of lattice effect algebras ⋮ Effect algebras with compressions ⋮ Synaptic algebras as models for quantum mechanics ⋮ Hull mappings and dimension effect algebras ⋮ Blocks of homogeneous effect algebras ⋮ A note on derivations on basic algebras ⋮ Observables, states, and symmetries in the context of CB-effect algebras ⋮ Unnamed Item ⋮ Convergence theorems for topological group valued measures on effect algebras ⋮ Centrally orthocomplete effect algebras ⋮ Type-decomposition of an effect algebra ⋮ Sharply dominating MV-effect algebras ⋮ Sharp and meager elements in orthocomplete homogeneous effect algebras ⋮ Symmetries on partially ordered Abelian groups ⋮ Pseudo effect algebras are algebras over bounded posets ⋮ The block structure of complete lattice ordered effect algebras ⋮ Meager projections in orthocomplete homogeneous effect algebras ⋮ An extension theorem for modular measures on effect algebras ⋮ Functions of bounded variation on effect algebras ⋮ Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras ⋮ Unnamed Item ⋮ A non-commutative version of the first Alexandroff decomposition theorem in ordered topological groups ⋮ Hyper-commutators in effect algebras ⋮ Convex effect algebras, state ordered effect algebras, and ordered linear spaces ⋮ Commutator-finite D-lattices ⋮ Partial algebras for Łukasiewicz logics and its extensions ⋮ Sequential products on effect algebras
Cites Work
- Unnamed Item
- Effect algebras and unsharp quantum logics.
- Filters and supports in orthoalgebras
- Fuzzy logics and observables
- \(\sigma\)-additivity in manuals and orthoalgebras
- Counterexamples in difference posets and orthoalgebras
- Decompositions of measures on orthoalgebras and difference posets
- Sums and products of interval algebras
- D-test spaces and difference posets
- Brouwer-Zadeh posets and three-valued Łukasiewicz posets
- Tensor products of \(D\)-posets and \(D\)-test spaces
- Tensor Product of Difference Posets
- AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
- The Quantum Theory of Measurement
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