On quasidecomposable finite rank torsion-free Abelian groups (Q1972660)
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: On quasidecomposable finite rank torsion-free Abelian groups |
scientific article; zbMATH DE number 1431698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On quasidecomposable finite rank torsion-free Abelian groups |
scientific article; zbMATH DE number 1431698 |
Statements
On quasidecomposable finite rank torsion-free Abelian groups (English)
0 references
13 April 2000
0 references
The author obtains two types of quasidecompositions for a finite rank torsion-free Abelian group \(G\). Using them, he proves pure semisimplicity of the module \(_EG\) in a particular case and obtains a criterion for pure semisimplicity of the module \(_EG\) in the general case.
0 references
finite rank groups
0 references
torsion-free Abelian groups
0 references
quasidecompositions
0 references
pure semisimple modules
0 references
endomorphism rings
0 references
