Geodesic
The Macneille Completion of a Uniquely Complemented Lattice
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 222-227

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DOI

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.
DOI : 10.4153/CMB-1994-033-3
Mots-clés : 06C15, 06A23 
Harding, John. The Macneille Completion of a Uniquely Complemented Lattice. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 222-227. doi: 10.4153/CMB-1994-033-3
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     title = {The {Macneille} {Completion} of a {Uniquely} {Complemented} {Lattice}},
     journal = {Canadian mathematical bulletin},
     pages = {222--227},
     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-033-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-033-3/}
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