Relative homology and maximal l-orthogonal modules
| dc.creator | Lada, Magdalini | |
| dc.date | 2008-04-15 | |
| dc.date.accessioned | 2026-07-07T09:32:41Z | |
| dc.date.available | 2026-07-07T09:32:41Z | |
| dc.description | Let $Ł$ be an artin algebra. Iyama conjectures that the endomorphism ring of any two maximal $l$-orthogonal modules, $M_1$ and $M_2$, are derived equivalent. He proves the conjecture for $l=1$, and for $l>1$ he gives some orthogonality condition on $M_1$ and $M_2$, such that the $\End_Ł(M_2)^\op$-$\End_Ł(M_1)$-bimodule $\Hom_Ł(M_2,M_1)$ is tilting, which implies that the rings $\End_Ł(M_2)$ and $\End_Ł(M_1)$ are derived equivalent (see \cite{H}). The purpose of this paper is to characterize tilting modules of the form $\Hom_Ł(M_2,M_1)$ in terms of the relative theories induced by the $Ł$-modules $M_1$ and $M_2$, thus getting a generilization of Iyama's result. | |
| dc.identifier | https://arxiv.org/abs/0804.2335 | |
| dc.identifier | http://arxiv.org/abs/0804.2335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158866 | |
| dc.subject | Representation Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 16E99, 16P20 | |
| dc.title | Relative homology and maximal l-orthogonal modules | |
| dc.type | text |