Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Tensor product of difference posets

Author: Anatolij Dvurečenskij
Journal: Trans. Amer. Math. Soc. 347 (1995), 1043-1057
MSC: Primary 03G12; Secondary 06C15, 81P10
MathSciNet review: 1249874
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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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Keywords: Difference poset, orthomodular poset, orthoalgebra, tensor product, bimorphism, probability measure, Boolean power, effects
Article copyright: © Copyright 1995 American Mathematical Society