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On realization of generalized effect algebras. (English) Zbl 1296.03038
It is shown that a generalized effect algebra is representable as an operator in the generalized effect algebra of effects of a complex Hilbert space if and only if it has an order-determining set of generalized states.

MSC:
03G12 Quantum logic
06D35 MV-algebras
06F25 Ordered rings, algebras, modules
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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References:
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