On centers and state spaces of logics
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Pták, Pavel (1984)
Proceedings of the 11th Winter School on Abstract Analysis
G. Szász (1978)
Czechoslovak Mathematical Journal
Ivan Chajda, Helmut Länger (2020)
Commentationes Mathematicae Universitatis Carolinae
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 which...
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