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The completion by cuts of an orthocomplemented modular lattice

Published online by Cambridge University Press:  17 April 2009

D. H. Adams
D. H. Adams
Affiliation:
Monash University, Clayton, Victoria, Australia.
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Abstract

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In this note we give an example of an orthocomplemented modular lattice whose completion by cuts is not orthomodular. This solves negatively Problem 36, p. 131, in G. Birkhoff: Lattice theory (3rd edition).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 2 , August 1969 , pp. 279 - 280
Copyright
Copyright © Australian Mathematical Society 1969

References

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