Geodesic
The Role of Halaš Identity in Orthomodular Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 19-24.

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We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.
Classification : 03G25, 06C15
Keywords: ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra 
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Chajda, Ivan. The Role of Halaš Identity in Orthomodular Lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 19-24. http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a1/