fundamental homomorphism theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:first_isomorphism_theorem
|
| gptkbp:appliesTo |
groups
modules rings |
| gptkbp:field |
gptkb:algebra
|
| gptkbp:generalizes |
isomorphism theorems
|
| https://www.w3.org/2000/01/rdf-schema#label |
fundamental homomorphism theorem
|
| gptkbp:relatedTo |
gptkb:illustrator
gptkb:operating_system quotient group |
| gptkbp:state |
If φ:G→H is a group homomorphism, then G/ker(φ) ≅ im(φ)
|
| gptkbp:usedIn |
abstract algebra
homomorphism theory |
| gptkbp:bfsParent |
gptkb:first_isomorphism_theorem
|
| gptkbp:bfsLayer |
8
|