Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fundamental_homomorphism_theorem
|
| gptkbp:appliesTo |
Groups
Rings Modules |
| gptkbp:field |
gptkb:Abstract_algebra
|
| gptkbp:generalizes |
gptkb:Second_isomorphism_theorem
Third isomorphism theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
First isomorphism theorem
|
| gptkbp:implies |
Quotient structure isomorphic to image
|
| gptkbp:namedAfter |
gptkb:Isomorphism
|
| gptkbp:relatedTo |
gptkb:Homomorphism
gptkb:Image_(mathematics) gptkb:Kernel_(algebra) |
| gptkbp:state |
If f:G→H is a group homomorphism, then G/ker(f) ≅ im(f)
|
| gptkbp:usedIn |
gptkb:Group_theory
gptkb:Ring_theory Module theory |
| gptkbp:bfsParent |
gptkb:Noether_isomorphism_theorems
|
| gptkbp:bfsLayer |
6
|