Cotorsion group
Summary
In abelian group theory, an abelian group is said to be cotorsion if any extension of it by a torsion-free abelian group splits. If the group is , this says that the Ext-group is zero for all torsion-free groups . Since any such embeds into a direct sum of copies of , it suffices to check the condition on the group of rational numbers.
Further reading
- Wikipedia, page 5739241, revision 1366628056, Cotorsion group. adopted
About this page
| Tag | CAAPB5WJSV |
|---|---|
| URI | m2://CAAPB5WJSV |
| Aliases | cotorsion, cotorsion-module |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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