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Note on ideals of effect algebras. (English) Zbl 1166.03037
It is proved that the class of effect algebras in which every lattice ideal is an effect algebra ideal is the class of orthomodular lattices.

03G12 Quantum logic
06C15 Complemented lattices, orthocomplemented lattices and posets
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
Full Text: DOI
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