Boolean factors of orthomodular lattices
type: Item
instance of: scholarly article
title: Boolean factors of orthomodular lattices
zbMATH Open document ID: 0655.06007
DOI: 10.1007/BF01229977
published in: Algebra Universalis
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 4068946
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: Boolean factor
author: John Harding
reviewed by: Christian Herrmann
MaRDI profile type: Publication
cites work: Some Finiteness Conditions for Orthomodular Lattices
cites work: Q3689226
Recommended article: Boolean quotients of orthomodular lattices
Recommended article: Q3199467
Recommended article: Boolean algebras of lattice uniformities and decompositions of modular functions
Recommended article: Q4654563
Recommended article: Q4508551
Recommended article: Q3342628
Recommended article: On Boolean Lattices of Module Classes
Recommended article: Orthomodular lattices and permutable congruences
Recommended article: Q4955597
Recommended article: Boolean Congruence Lattices of Orthodox Semigroups
description: scientific article; zbMATH DE number 4068946