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