论文标题
理想的近似值
Ideal approximation in $n$-angulated categories
论文作者
论文摘要
在本文中,我们研究了与$ n $ -Angulation类别的扩展封闭子类别相关的理想近似理论。对于$ n = 3 $,一个$ n $的类别不过是经典的三角类别。此外,由于每个确切类别都可以嵌入为三角形类别的扩展子类别,因此,我们的方法扩展了Fu,Herzog等人开发的最新理想近似理论。对于精确的类别以及Breaz和Modoi,用于三角形类别。
In this paper, we study ideal approximation theory associated to almost $n$-exact structures in extension closed subcategories of $n$-angulated categories. For $n=3$, an $n$-angulated category is nothing but a classical triangulated category. Moreover, since every exact category can be embedded as an extension closed subcategory of a triangulated category, therefore, our approach extends the recent ideal approximations theories developed by Fu, Herzog et al. for exact categories and by Breaz and Modoi for triangulated categories.