Derived Equivalence induced by $n$-tilting modules
| dc.creator | Bazzoni, S. | |
| dc.creator | Mantese, F. | |
| dc.creator | Tonolo, A. | |
| dc.date | 2009-05-22 | |
| dc.date.accessioned | 2026-07-07T13:17:35Z | |
| dc.date.available | 2026-07-07T13:17:35Z | |
| dc.description | Let $T_R$ be a right $n$-tilting module over an arbitrary associative ring $R$. In this paper we prove that there exists a $n$-tilting module $T'_R$ equivalent to $T_R$ which induces a derived equivalence between the unbounded derived category $\D(R)$ and a triangulated subcategory $\mathcal E_{\perp}$ of $\D(\End(T'))$ equivalent to the quotient category of $\D(\End(T'))$ modulo the kernel of the total left derived functor $-\otimes^{\mathbb L}_{S'}T'$. In case $T_R$ is a classical $n$-tilting module, we get again the Cline-Parshall-Scott and Happel's results. | |
| dc.identifier | https://arxiv.org/abs/0905.3696 | |
| dc.identifier | http://arxiv.org/abs/0905.3696 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231156 | |
| dc.subject | Rings and Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 16E05; 16E30 | |
| dc.title | Derived Equivalence induced by $n$-tilting modules | |
| dc.type | text |