structure theorem for semisimple rings
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Artin–Wedderburn_theorem
|
| gptkbp:appliesTo |
semisimple rings
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:firstPublished |
1920s
|
| https://www.w3.org/2000/01/rdf-schema#label |
structure theorem for semisimple rings
|
| gptkbp:implies |
classification of simple rings
|
| gptkbp:namedAfter |
gptkb:Emil_Artin
gptkb:Joseph_Wedderburn |
| gptkbp:state |
every semisimple ring is isomorphic to a finite product of matrix rings over division rings
|
| gptkbp:usedIn |
representation theory
module theory ring theory |
| gptkbp:bfsParent |
gptkb:noncommutative_geometry
|
| gptkbp:bfsLayer |
5
|