Mathematics – Representation Theory
Scientific paper
2008-04-15
Mathematics
Representation Theory
Scientific paper
Let $\L$ 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 $\End_\L(M_2)^\op$-$\End_\L(M_1)$-bimodule $\Hom_\L(M_2,M_1)$ is tilting, which implies that the rings $\End_\L(M_2)$ and $\End_\L(M_1)$ are derived equivalent (see \cite{H}). The purpose of this paper is to characterize tilting modules of the form $\Hom_\L(M_2,M_1)$ in terms of the relative theories induced by the $\L$-modules $M_1$ and $M_2$, thus getting a generilization of Iyama's result.
No associations
LandOfFree
Relative homology and maximal l-orthogonal modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relative homology and maximal l-orthogonal modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative homology and maximal l-orthogonal modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-653047