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Projective orthomodular lattices II

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Abstract.

In this paper we continue to investigate projectivity in orthomodular lattices. We prove the somewhat surprising result that no uncountable Boolean algebra is projective in the variety of orthomodular lattices.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada, , , , , , CA

    G. Bruns

  2. Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba R7A 6A9, Canada, , , , , , CA

    M.S. Roddy

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  1. G. Bruns
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  2. M.S. Roddy
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Received January 7, 1994; accepted in final form July 16, 1996.

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Bruns, G., Roddy, M. Projective orthomodular lattices II. Algebra univers. 37, 147–153 (1997). https://doi.org/10.1007/s000120050010

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  • DOI: https://doi.org/10.1007/s000120050010

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