Revisiting the free 2-generator abelian \(\ell\)-group
type: Item
instance of: scholarly article
title: Revisiting the free 2-generator abelian \(\ell\)-group
zbMATH Open document ID: 1118.06010
published in: Journal of Pure and Applied Algebra
publication date: 2007-02-02T00:00:00Z
review text: The free \(n\)-generator abelian \(\ell\)-group \(F_n\) was characterized by G. Birkhoff as a subdirect product of integers. \(F_n\), by a theorem due to Baer and Specker, is countable and hence \(F_n= \bigoplus_{i\in N}(\chi_i)\) for some generators \(\chi_i\). The aim of this paper is to give a description for the monoid of positive elements of \(F_n\) in the case of two generators.
Mathematics Subject Classification ID: 06F20
zbMATH DE Number: 5121393
zbMATH Keywords: lattice-ordered abelian group
zbMATH Keywords: subdirect products
zbMATH Keywords: monoids of positive elements
author: Daniele Mundici
reviewed by: C. G. Chehata
MaRDI profile type: Publication
full work available at URL: j.jpaa.2006.01.015
OpenAlex ID: W2081759472
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DOI: 10.1016/J.JPAA.2006.01.015
description: scientific article; zbMATH DE number 5121393