Name: Boolean factors of orthomodular lattices
Creator: John Harding
Keywords: Complemented lattices, orthocomplemented lattices and posets, orthomodular lattice, Boolean factor, 0103 physical sciences, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1988 English Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 25, pages 281-282 (issn: 0002-5240, eissn: 1420-8911,

Authors: John Harding;

doi: 10.1007/bf01229977

Boolean factors of orthomodular lattices

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Abstract

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.

Related Organizations

McMaster University
Canada

Keywords

Complemented lattices, orthocomplemented lattices and posets, orthomodular lattice, Boolean factor

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