论文标题
某些$ n $外面类别的愿望完成
Idempotent completion of certain $n$-exangulated categories
论文作者
论文摘要
最近显示，$ n $ extension封闭的子类别$ \ mathscr a $ a $ krull-schmidt $（n+2）$ - 角类别的自然结构为$ n $ excangulated oftery。在本文中，我们证明了其dempotent完成$ \ wideTilde {\ mathscr a} $允许$ n $ exanged结构。它不仅是LIN的主要结果的概括，而且还提供了$ n $的类别，它既不是$ n $ excACT，也不是$（n+2）$ - 一般而言。
It was shown recently that an $n$-extension closed subcategory $\mathscr A$ of a Krull-Schmidt $(n+2)$-angulated category has a natural structure of an $n$-exangulated category. In this article, we prove that its idempotent completion $\widetilde{\mathscr A}$ admits an $n$-exangulated structure. It is not only a generalization of the main result of Lin, but also gives an $n$-exangulated category which is neither $n$-exact nor $(n+2)$-angulated in general.
