Geodesic
A groupoid characterization of orthomodular lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 13-18.

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We prove that an orthomodular lattice can be considered as a groupoid with a distinguished element satisfying simple identities.
Classification : 06C15, 20N02
Keywords: orthomodular lattice; ortholattice; orthocomplementation; OML-algebra 
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Chajda, Ivan. A groupoid characterization of orthomodular lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 13-18. http://geodesic.mathdoc.fr/item/AUPO_2005__44_1_a1/