The underlying group of any finitely generated abelian lattice-ordered group is free
type: Item
instance of: scholarly article
title: The underlying group of any finitely generated abelian lattice-ordered group is free
zbMATH Open document ID: 1122.06014
author: A. M. W. Glass
author: Vincenzo Marra
published in: Algebra Universalis
publication date: 2007-07-20T00:00:00Z
review text: The authors prove two corollaries. First, that the underlying group of any finitely generated abelian lattice-ordered group is free, and second, that the free abelian lattice-ordered group on a countable set of generators has the underlying abelian group free of countable rank.
Mathematics Subject Classification ID: 06F20
zbMATH DE Number: 5173465
zbMATH Keywords: free abelian group
zbMATH Keywords: lattice-ordered group
MaRDI profile type: Publication
full work available at URL: s00012-007-2015-3
OpenAlex ID: W2169542028
DOI: 10.1007/S00012-007-2015-3
description: scientific article; zbMATH DE number 5173465