On good filtration dimensions for standardly stratified algebras
| dc.creator | Zhu, Bin | |
| dc.creator | Caenepeel, S. | |
| dc.date | 2002-09-06 | |
| dc.date | 2003-11-21 | |
| dc.date.accessioned | 2026-07-07T04:50:39Z | |
| dc.date.available | 2026-07-07T04:50:39Z | |
| dc.description | $\nabla$-good filtration dimensions of modules and of algebras are introduced by Parker for quasi-hereditary algebras. These concepts are now generalized to the setting of standardly stratified algebras. Let $A$ be a standardly stratified algebra. The $\bar{\nabla}$-good filtration dimension of $A$ is proved to be the projective dimension of the characteristic module of $A$. Several characterizations of $\bar{\nabla}$-good filtration dimensions and $\barΔ$-good filtration dimensions are given for properly stratified algebras. Finally we give an application of these results to the global dimensions of quasi-hereditary algebras with exact Borel subalgebra. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209063 | |
| dc.identifier | http://arxiv.org/abs/math/0209063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64867 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16E10, 16G20, 18G20 | |
| dc.title | On good filtration dimensions for standardly stratified algebras | |
| dc.type | text |