On subalgebras of $n\times n$ matrices not satisfying identities of degree $2n-2$
| dc.creator | Birmajer, Daniel | |
| dc.date | 2003-05-29 | |
| dc.date.accessioned | 2026-07-07T04:58:23Z | |
| dc.date.available | 2026-07-07T04:58:23Z | |
| dc.description | The Amitsur-Levitski theorem asserts that $M_n(F)$ satisfies a polynomial identity of degree $2n$. (Here, $F$ is a field and $M_n(F)$ is the algebra of $n \times n$ matrices over $F$). It is easy to give examples of subalgebras of $M_n(F)$ that do satisfy an identity of lower degree and subalgebras of $M_n(F)$ that satisfy no polynomial identity of degree $\le 2n-2$. Our aim in this paper is to give a full classification of the subalgebras of $n \times n$ matrices that satisfy no nonzero polynomial of degree less than $2n$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305430 | |
| dc.identifier | http://arxiv.org/abs/math/0305430 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67618 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16R10; 15A24 | |
| dc.title | On subalgebras of $n\times n$ matrices not satisfying identities of degree $2n-2$ | |
| dc.type | text |