Perfect effect algebras are categorically equivalent with Abelian interpolation po-groups
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Publication:3441487
DOI10.1017/S1446788700016025zbMath1117.06009OpenAlexW2023831842MaRDI QIDQ3441487
Publication date: 30 May 2007
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788700016025
MV-algebras (06D35) Many-valued logic (03B50) Quantum logic (03G12) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (20)
Lexicographic effect algebras ⋮ E-perfect effect algebras ⋮ Riesz decomposition properties and the lexicographic product of po-groups ⋮ When the lexicographic product of two po-groups has the Riesz decomposition property ⋮ The lexicographic product of po-groups and \(n\)-perfect pseudo effect algebras ⋮ Galois connections and tense operators on q-effect algebras ⋮ How Do $$\ell $$-Groups and Po-Groups Appear in Algebraic and Quantum Structures? ⋮ Representation of perfect and \(n\)-perfect pseudo effect algebras ⋮ Lexicographic pseudo MV-algebras ⋮ \(n\)-dimensional observables on \(k\)-perfect MV-algebras and \(k\)-perfect effect algebras. I: Characteristic points ⋮ \(n\)-dimensional observables on \(k\)-perfect MV-algebras and \(k\)-perfect effect algebras. II: One-to-one correspondence ⋮ Lexicographic product vs \(\mathbb Q\)-perfect and \(\mathbb H\)-perfect pseudo effect algebras ⋮ Lexicographic pseudo effect algebras ⋮ \(n\)-perfect and \(\mathbb Q\)-perfect pseudo effect algebras ⋮ How to produce S-tense operators on lattice effect algebras ⋮ Observables on lexicographic effect algebras ⋮ Loomis-Sikorski theorem and Stone duality for effect algebras with internal state ⋮ Kite pseudo effect algebras ⋮ Perfect effect algebras and spectral resolutions of observables ⋮ Unnamed Item
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