Revisiting the free 2-generator abelian \(\ell\)-group (Q861847)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Revisiting the free 2-generator abelian \(\ell\)-group |
scientific article; zbMATH DE number 5121393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Revisiting the free 2-generator abelian \(\ell\)-group |
scientific article; zbMATH DE number 5121393 |
Statements
Revisiting the free 2-generator abelian \(\ell\)-group (English)
0 references
2 February 2007
0 references
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.
0 references
lattice-ordered abelian group
0 references
subdirect products
0 references
monoids of positive elements
0 references
0 references
