Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
modules
abelian groups finite abelian groups finite-length modules objects in certain categories |
| gptkbp:category |
gptkb:category_theory
group theory module theory |
| gptkbp:field |
gptkb:algebra
|
| gptkbp:formedBy |
1920s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Krull–Schmidt theorem
|
| gptkbp:namedAfter |
gptkb:Wolfgang_Krull
gptkb:Otto_Schmidt |
| gptkbp:relatedConcept |
direct sum decomposition
indecomposable module |
| gptkbp:state |
a finite-length module can be decomposed into a direct sum of indecomposable modules in an essentially unique way
|
| gptkbp:bfsParent |
gptkb:Wolfgang_Krull
gptkb:commutative_algebra gptkb:Jordan–Hölder_theorem |
| gptkbp:bfsLayer |
5
|