论文标题
外出管类别的愿意完成
Idempotent completion of extriangulated categories
论文作者
论文摘要
Nakaoka和Palu引入了外部类别，作为确切类别和三角形类别的同时概括。在本文中，我们表明，外侧类别的基于掌握的结构承认了自然的外侧结构。作为应用程序，我们证明，在某些条件下，型类别中的固体对在其愿意的完成中诱导了交立对，并且对外节策略类别的回忆的掌握完成仍然是一种回忆。
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we show that the idempotent completion of an extriangulated category admits a natural extriangulated structure. As applications, we prove that cotorsion pairs in an extriangulated category induce cotorsion pairs in its idempotent completion under certain condition, and the idempotent completion of a recollement of extriangulated categories is still a recollement.
