Geodesic
Orthomodular Posets Can Be Organized as Conditionally Residuated Structures
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 29-33.

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It is proved that orthomodular posets are in a natural one-to-one correspondence with certain residuated structures.
Classification : 06A11, 06C15
Keywords: Orthomodular poset; partial commutative groupoid with unit; conditionally residuated structure; divisibility condition; orthogonality condition 
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Chajda, Ivan; Länger, Helmut. Orthomodular Posets Can Be Organized as Conditionally Residuated Structures. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 29-33. http://geodesic.mathdoc.fr/item/AUPO_2014__53_2_a1/