Orthomodular lattices that are horizontal sums of Boolean algebras
Ivan Chajda, Helmut Länger (2020)
Commentationes Mathematicae Universitatis Carolinae
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The paper deals with orthomodular lattices which are so-called horizontal sums of Boolean algebras. It is elementary that every such orthomodular lattice is simple and its blocks are just these Boolean algebras. Hence, the commutativity relation plays a key role and enables us to classify these orthomodular lattices. Moreover, this relation is closely related to the binary commutator which is a term function. Using the class of horizontal sums of Boolean algebras, we establish an identity...