Geodesic
Projective Orthomodular Lattices
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 145-153

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DOI

We introduce sectional projectivity, which appears to be the correct notion of projectivity when working with orthomodularlattices. We prove some positive results for varieties of OMLs satisfying various finiteness conditions, namely that every finite OML in such a variety is sectionally projective. In contrast, we prove that the eight element modular ortholattice, MO 3, is not projective in the variety of modular ortholattices.
DOI : 10.4153/CMB-1994-021-2
Mots-clés : 06C15 
Bruns, Gunter; Roddy, Michael. Projective Orthomodular Lattices. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 145-153. doi: 10.4153/CMB-1994-021-2
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     title = {Projective {Orthomodular} {Lattices}},
     journal = {Canadian mathematical bulletin},
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     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-021-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-021-2/}
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