Generalized tilting modules with finite injective dimension
| dc.creator | Huang, Zhaoyong | |
| dc.date | 2006-02-25 | |
| dc.date | 2006-12-31 | |
| dc.date.accessioned | 2026-07-07T07:37:35Z | |
| dc.date.available | 2026-07-07T07:37:35Z | |
| dc.description | Let $R$ be a left noetherian ring, $S$ a right noetherian ring and $_RU$ a generalized tilting module with $S={\rm End}(_RU)$. The injective dimensions of $_RU$ and $U_S$ are identical provided both of them are finite. Under the assumption that the injective dimensions of $_RU$ and $U_S$ are finite, we describe when the subcategory $\{{\rm Ext}_S^n(N, U)|N$ is a finitely generated right $S$-module$\}$ is closed under submodules. As a consequence, we obtain a negative answer to a question posed by Auslander in 1969. Finally, some partial answers to Wakamatsu Tilting Conjecture are given. | |
| dc.description | 18 pages. This is the final version. To appear in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0602572 | |
| dc.identifier | http://arxiv.org/abs/math/0602572 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120822 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16E10; 16E30 | |
| dc.title | Generalized tilting modules with finite injective dimension | |
| dc.type | text |