For the bounded derived category of an abelian category, bounds of the dimension with respect to a complete hereditary cotorsion pair are given. We also characterize levels of DG-modules and study how levels involved in a recollement of derived categories over DG-rings are related.

中文翻译：

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三角分类的维度和级别

对于阿贝尔范畴的有界派生范畴，给出了关于完整遗传余量对的维数界。我们还描述了 DG 模块的级别，并研究了 DG 环上派生类别的回忆所涉及的级别是如何相关的。