Tensor product of difference posets

Dvurečenskij, Anatolij

doi:10.1090/S0002-9947-1995-1249874-8

Tensor product of difference posets
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by Anatolij Dvurečenskij

Trans. Amer. Math. Soc. 347 (1995), 1043-1057

DOI: https://doi.org/10.1090/S0002-9947-1995-1249874-8

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Abstract:

A tensor product of difference posets, which generalize orthoalgebras and orthomodular posets, is defined, and an equivalent condition is presented. In particular, we show that a tensor product for difference posets with a sufficient system of probability measures exists, as well as a tensor product of any difference poset and any Boolean algebra, which is isomorphic to a bounded Boolean power.

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