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Tensor products of orthoalgebras

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Abstract

We define a tensor product via a universal mapping property on the class oforthoalgebras, which are both partial algebras and orthocomplemented posets. We show how to construct such a tensor product forunital orthoalgebras, and use the Fano plane to show that tensor products do not always exist.

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Communicated by B. A. Davey

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Foulis, D.J., Bennett, M.K. Tensor products of orthoalgebras. Order 10, 271–282 (1993). https://doi.org/10.1007/BF01110548

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