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Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived… Click to show full abstract
Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\Mod \CS$. This will have several interesting applications. In the second part, we apply our techniques to get some interesting recollements of derived categories in different levels. We specialize our results to path rings as well as graded rings.
Keywords:
derived equivalences;
equivalences functor;
functor categories
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
Link to full text (if available)
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recommendations!