Boolean factors of orthomodular lattices (Q1109057)

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scientific article; zbMATH DE number 4068946
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Boolean factors of orthomodular lattices
scientific article; zbMATH DE number 4068946

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    Boolean factors of orthomodular lattices (English)
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    1988
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    Bruns, Greechie, and Herman have shown that an orthomodular lattice whose commutator set is the commuting set of a finite set has to be a direct product of a Boolean algebra and a lattice without Boolean factor. The converse is refuted by a counterexample in this note.
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    orthomodular lattice
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    Boolean factor
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