论文标题
回忆的外侧类别
Recollements of extriangulated categories
论文作者
论文摘要
我们同时概括了阿贝尔类别和三角剖分类别的回忆，我们称之为外节类别的回忆。对于回忆$（\ Mathcal {a} $，$ \ MATHCAL {B} $，$ \ MATHCAL {c}）$的外部类别，我们表明，在$ \ Mathcal {a} $和$ \ Mathcal {c} $ aute cotorsion cotorsion pairs $ birs $ cairs in $ concc in $ concc in $ {作为应用程序，我们的主要结果恢复了Chen给出的三角策略类别的结果，当将其应用于Abelian类别时，它也显示出一种新现象。
We give a simultaneous generalization of recollements of abelian categories and triangulated categories, which we call recollements of extriangulated categories. For a recollement $(\mathcal{A}$, $\mathcal{B}$, $\mathcal{C})$ of extriangulated categories, we show that cotorsion pairs in $\mathcal{A}$ and $\mathcal{C}$ induce cotorsion pairs in $\mathcal{B}$ under certain conditions. As an application, our main result recovers a result given by Chen for recollements of triangulated categories, and it also shows a new phenomena when it is applied to abelian categories.
