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The Macneille Completion of a Uniquely Complemented Lattice

Published online by Cambridge University Press:  20 November 2018

John Harding
John Harding*
Affiliation:
Department of Mathematics, Vanderbilt University Nashville, Tennessee 37240 U.S.A.
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Abstract

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Problem 36 of the third edition of Birkhoff's Lattice theory [2] asks whether the MacNeille completion of uniquely complemented lattice is necessarily uniquely complemented. We show that the MacNeille completion of a uniquely complemented lattice need not be complemented.

Keywords

06C1506A23
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 222 - 227
Copyright
Copyright © Canadian Mathematical Society 1994

References

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