论文标题
提起阿贝尔类别和模型结构的回忆
Lifting recollements of abelian categories and model structures
论文作者
论文摘要
我们使用Quillen模型结构来展示一种系统的方法来提升遗传性亚伯利亚模型类别的回忆，以回忆其相关的同型类别。为此，我们使用了Quillen伴随三元组的概念，并研究了沿伴随对的Abelian模型结构的转移。应用程序包括将模块类别的回忆提起到其派生的对应物中，同型类别的提升，这些类别为Gorenstein投影和注射模块的稳定类别提供了模型，以及与Iwanaga-Gorenstein环的N-Morphism类别类别的同型类别的升降。
We use Quillen model structures to show a systematic method to lift recollements of hereditary abelian model categories to recollements of their associated homotopy categories. To that end, we use the notion of Quillen adjoint triples and we investigate transfers of abelian model structures along adjoint pairs. Applications include liftings of recollements of module categories to their derived counterpart, liftings to homotopy categories that provide models for stable categories of Gorenstein projective and injective modules and liftings to homotopy categories of n-morphism categories over Iwanaga-Gorenstein rings.
