论文标题
粘合和提起确切类别回忆的精确模型结构
Gluing and lifting exact model structures for the recollement of exact categories
论文作者
论文摘要
在本文中，我们首先提供了一个明确的程序，将遗传精确模型结构粘合在一起，以回忆精确的类别。为此，我们使用了Cotorsion对的概念，并研究了完整的遗传性合作对的粘合，并沿着精确类别的回忆进行了研究。此外，我们研究了遗传精确模型结构的回忆的提升，以回忆其相关的同型类别。这导致了一种新方法来产生三角类别的回忆。应用于矛盾的类别，投影稳定的衍生类别和稳定的Gorenstein Injementive模块的稳定类别。
In this paper, we first provide an explicit procedure to glue together hereditary exact model structures for the recollement of exact categories. To that end, we use the notion of cotorsion pairs and we investigate the gluing of complete hereditary cotorsion pairs along the recollement of exact categories. Moreover, we study liftings of recollements of hereditary exact model structures to recollements of their associated homotopy categories. This leads to a new method to produce recollements of triangulated categories. Applications are given to contraderived categories, projective stable derived categories and stable categories of Gorenstein injective modules over an upper triangular matrix ring.
