Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Artinian_rings
semisimple rings |
| gptkbp:field |
gptkb:algebra
ring theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Wedderburn-Artin theorem
|
| gptkbp:implies |
gptkb:structure_theorem_for_semisimple_rings
|
| gptkbp:namedAfter |
gptkb:Emil_Artin
gptkb:Joseph_Wedderburn |
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:relatedTo |
gptkb:Artin–Wedderburn_theorem
gptkb:Wedderburn's_theorem |
| gptkbp:state |
Every semisimple Artinian ring is isomorphic to a finite product of matrix rings over division rings.
|
| gptkbp:usedIn |
representation theory
module theory |
| gptkbp:bfsParent |
gptkb:noncommutative_geometry
|
| gptkbp:bfsLayer |
5
|