Amitsur–Levitzki theorem
id:
amitsur-levitzki-theorem-0-6773062
title:
Amitsur–Levitzki theorem
text:
In algebra, the Amitsur–Levitzki theorem states that the algebra of n × n matrices over a commutative ring satisfies a certain identity of degree 2n. It was proved by Amitsur and Levitsky (1950). In particular matrix rings are polynomial identity rings such that the smallest identity they satisfy has degree exactly 2n.
brand slug:
wiki
category slug:
encyclopedia
description:
States that the algebra of n by n matrices satisfies a certain identity of degree 2n
original url:
https://en.wikipedia.org/wiki/Amitsur%E2%80%93Levitzki_theorem
date created:
date modified:
2022-03-02T20:25:35Z
main entity:
{"identifier":"Q4746948","url":"https://www.wikidata.org/entity/Q4746948"}
image:
fields total:
13
integrity:
14