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arxiv: 0712.3714 · v1 · submitted 2007-12-21 · 🪐 quant-ph

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Atomistic and orthoatomistic effect algebras

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classification 🪐 quant-ph
keywords effectorthoatomisticalgebrasatomisticorthocompleteweaklyalgebraarchimedean
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We characterize atomistic effect algebras, prove that a weakly orthocomplete Archimedean atomic effect algebra is orthoatomistic and present an example of an orthoatomistic orthomodular poset that is not weakly orthocomplete.

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