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Keywords:
ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra
ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra
Summary:
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.
References:
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