Order

, Volume 10, Issue 3, pp 283–294

Completions of orthomodular lattices II

Authors

  • John Harding
    • Department of MathematicsVanderbilt University
Article

DOI: 10.1007/BF01110549

Cite this article as:
Harding, J. Order (1993) 10: 283. doi:10.1007/BF01110549

Abstract

If\(\mathcal{K}\) is a variety of orthomodular lattices generated by a set of orthomodular lattices having a finite uniform upper bound om the length of their chains, then the MacNeille completion of every algebra in\(\mathcal{K}\) again belongs to\(\mathcal{K}\).

Mathematics Subject Classifications (1991)

06A1020B14

Key words

Orthomodular latticesMacNeille completionBoolean algebra
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Copyright information

© Kluwer Academic Publishers 1993