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.
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 
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/
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