Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
semisimple algebras
semisimple rings |
| gptkbp:describes |
structure of semisimple rings
|
| gptkbp:field |
gptkb:algebra
ring theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Artin–Wedderburn theorem
|
| gptkbp:implies |
classification of semisimple rings
|
| gptkbp:namedAfter |
gptkb:Emil_Artin
gptkb:Joseph_Wedderburn |
| gptkbp:relatedTo |
gptkb:Wedderburn's_theorem
structure theorem for algebras |
| gptkbp:state |
every semisimple ring is isomorphic to a finite product of matrix rings over division rings
|
| gptkbp:usedIn |
representation theory
module theory |
| gptkbp:yearProved |
1920s
|
| gptkbp:bfsParent |
gptkb:Emil_Artin
gptkb:Representation_theory gptkb:noncommutative_geometry |
| gptkbp:bfsLayer |
5
|