Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:algebra
|
| gptkbp:field |
gptkb:algebra
ring theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Amitsur–Levitzki theorem
|
| gptkbp:implies |
n×n matrix algebra satisfies a standard polynomial identity of degree 2n
|
| gptkbp:namedAfter |
gptkb:Jacob_Levitzki
gptkb:Shimshon_Amitsur |
| gptkbp:publicationYear |
1950
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_American_Mathematical_Society
|
| gptkbp:state |
The standard polynomial of degree 2n vanishes identically on n×n matrices over a commutative ring.
|
| gptkbp:bfsParent |
gptkb:noncommutative_geometry
|
| gptkbp:bfsLayer |
5
|