Commutator-finite orthomodular lattices
type: Item
instance of: scholarly article
title: Commutator-finite orthomodular lattices
zbMATH Open document ID: 0553.06012
DOI: 10.1007/BF00383604
author: Louis Herman
author: Richard J. Greechie
published in: Order
publication date: 1985-01-01T00:00:00Z
review text: The authors investigate the class C of orthomodular lattices which have only finitely many commutators. They prove the following results: The class C contains all block-finite OML's. Every irreducible element of C is simple. Every element of C is a direct product of a Boolean algebra and finitely many simple OML's. The irreducible elements of C which are modular have height at most two.
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 3880774
zbMATH Keywords: orthomodular lattices
zbMATH Keywords: commutators
zbMATH Keywords: block-finite OML's
zbMATH Keywords: irreducible element
reviewed by: Pavel Pták
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00383604
OpenAlex ID: W1993908554
description: scientific article; zbMATH DE number 3880774