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Completions of orthomodular lattices

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Abstract

If K is a variety of orthomodular lattices generated by a finite orthomodular lattice the MacNeille completion of every algebra in K again belongs to K.

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Authors and Affiliations

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

    Günter Bruns

  2. Department of Mathematics, Kansas State University, 66506, Manhattan, KS, USA

    Richard Greechie

  3. Department of Mathematics, McMaster University, L8S 4K1, Hamilton, Ontario, Canada

    John Harding

  4. Department of Mathematics, Brandon University, R7A 6A9, Brandon, Manitoba, Canada

    Michael Roddy

Authors
  1. Günter Bruns
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  2. Richard Greechie
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  3. John Harding
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  4. Michael Roddy
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Communicated by I. Rival

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Bruns, G., Greechie, R., Harding, J. et al. Completions of orthomodular lattices. Order 7, 67–76 (1990). https://doi.org/10.1007/BF00383174

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  • DOI: https://doi.org/10.1007/BF00383174

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