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Abstract: 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 unboundedderived category $\DR$ and a triangulated subcategory $\mathcal E {\perp}$ of$\D\EndT-$ equivalent to the quotient category of $\D\EndT-$ modulo thekernel 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-Scottand Happel-s results.



Autor: S. Bazzoni, F. Mantese, A. Tonolo

Fuente: https://arxiv.org/







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