Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | gptkb:mathematical_concept | 
| gptkbp:appliesTo | modules injective modules | 
| gptkbp:describes | injectivity of modules | 
| gptkbp:field | ring theory | 
| gptkbp:introducedIn | 1940s | 
| gptkbp:namedAfter | gptkb:Reinhold_Baer | 
| gptkbp:sentence | A module M is injective if and only if every homomorphism from an ideal of the ring to M extends to a homomorphism from the ring to M. | 
| gptkbp:usedIn | homological algebra module theory | 
| gptkbp:bfsParent | gptkb:Reinhold_Baer | 
| gptkbp:bfsLayer | 6 | 
| https://www.w3.org/2000/01/rdf-schema#label | Baer criterion |