We obtain some fundamental results, as Bökstedt–Neeman Theorem and Grothendieck duality, about the derived category of modules on a finite ringed space. Then we see how these results are transferred to schemes in a simple way and generalized to other ringed spaces.

中文翻译：

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有限空间和Grothendieck对偶性的派生类别

我们获得了一些基本结果，例如Bökstedt–Neeman定理和Grothendieck对偶性，关于有限环空间上模的派生类别。然后，我们看看如何将这些结果以一种简单的方式转移到方案中，并推广到其他环形空间。