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Completeness of the bounded Boolean powers of orthomodular lattices

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Abstract

Completeness of orthomodular lattices is frequently assumed in axiomatic treatments of the foundations of quantum mechanics. We show that the bounded Boolean power of an orthomodular lattice by a Boolean algebra is complete if and only if one of these is complete and the other is finite.

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Authors and Affiliations

  1. Dept. of Mathematics Faculty of Electrical Engineering, Slovak Technical University, Ilkovičova 3, SK-812 19, Bratislava, Slovak Republic

    Z. Riečanová

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  1. Z. Riečanová
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Dedicated to the memory of Alan Day

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Riečanová, Z. Completeness of the bounded Boolean powers of orthomodular lattices. Algebra Universalis 35, 230–232 (1996). https://doi.org/10.1007/BF01195497

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  • DOI: https://doi.org/10.1007/BF01195497

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