Invariance of generalised Reynolds ideals under derived equivalences
| dc.creator | Zimmermann, Alexander | |
| dc.date | 2005-09-24 | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T06:43:07Z | |
| dc.date.available | 2026-07-07T06:43:07Z | |
| dc.description | For any algebraically closed field $k$ of positive characteristic $p$ and any non negative integer $n$ Külshammer defined ideals $T\_nA^\perp$ of the centre of a symmetric $k$-algebra $A$. We show that for derived equivalent algebras $A$ and $B$ there is an isomorphism of the centres of $A$ and $B$ mapping $T\_nA^\perp$ to $T\_nB^\perp$ for all $n$. Recently Héthelyi, Horváth, Külshammer and Murray showed that this holds for Morita equivalent algebras. | |
| dc.identifier | https://arxiv.org/abs/math/0509580 | |
| dc.identifier | http://arxiv.org/abs/math/0509580 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102293 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 20C05; 18E30; 16E40 | |
| dc.title | Invariance of generalised Reynolds ideals under derived equivalences | |
| dc.type | text |