Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:fundamental_homomorphism_theorem
|
| gptkbp:appliesTo |
group theory
module theory ring theory |
| gptkbp:field |
gptkb:algebra
|
| gptkbp:generalizes |
homomorphism theorems
|
| https://www.w3.org/2000/01/rdf-schema#label |
first isomorphism theorem
|
| gptkbp:implies |
quotient structure isomorphic to image
|
| gptkbp:namedAfter |
isomorphism
|
| gptkbp:relatedTo |
gptkb:second_isomorphism_theorem
third isomorphism theorem |
| gptkbp:state |
If f:G→H is a group homomorphism, then G/ker(f) ≅ im(f).
|
| gptkbp:usedIn |
abstract algebra
linear algebra homological algebra |
| gptkbp:bfsParent |
gptkb:Second_isomorphism_theorem
|
| gptkbp:bfsLayer |
7
|