Groups in which every right order is two sided
type: Item
instance of: scholarly article
title: Groups in which every right order is two sided
zbMATH Open document ID: 0675.06011
DOI: 10.1007/BF01199812
author: Michael R. Darnel
author: A. M. W. Glass
author: Akbar H. Rhemtulla
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: If G is a right orderable group and every right order is two sided, then G is abelian. It follows that the free lattice-ordered group F(G) over a group G exists and is a subdirect product of ordered groups if and only if G (and hence F(G)) is a torsion-free abelian group.
Mathematics Subject Classification ID: 06F15
zbMATH DE Number: 4105035
zbMATH Keywords: two sided right order
zbMATH Keywords: right orderable group
zbMATH Keywords: free lattice-ordered group
zbMATH Keywords: subdirect product
zbMATH Keywords: torsion-free abelian group
MaRDI profile type: Publication
cites work: Free lattice-ordered groups
cites work: Generating varieties of lattice-ordered groups: Approximating wreath products
cites work: Q5654235
description: scientific article; zbMATH DE number 4105035