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Let be the derived category of representations of a small category over a commutative noetherian ring . We study the homotopically smashing t-structures on this category. Specifying our discussion to the stalk categories for a finite quiver and a prime ideal of , we prove the telescope conjecture for the derived category of representations of finite quivers over artinian rings. More generally, we prove the same result also outside of the noetherian context, for representations of finite quivers over commutative perfect rings.

生成讲解博客的中文版本

生成AI智能校验的中文版本