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Tensor products of sequential effect algebras. (English) Zbl 1086.03053
Summary: A sequential effect algebra (SEA) is an effect algebra on which a sequential product with natural properties is defined. It is first shown that the tensor product of a Boolean algebra with an arbitrary SEA exists. We then characterize pairs of SEA’s that admit a tensor product. As a corollary we show that a pair of commutative SEA’s admit a tensor product if they admit a bimorphism.

MSC:
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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