Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
modules
injective modules |
| gptkbp:describes |
injectivity of modules
|
| gptkbp:field |
ring theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Baer criterion
|
| 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
|