$n$ -角范畴中的理想逼近
Ideal approximation in $n$-angulated categories
摘要：
本文研究了$n$ -角范畴的扩张闭子范畴中几乎$n$ -正合结构的理想逼近论。对于$n=3$，一个$n$ -角范畴只不过是一个经典的三角范畴.此外，由于每个正合范畴都可以嵌入为一个三角范畴的扩张闭子范畴，因此，我们的方法推广了Fu，Herzog等人关于正合范畴和Breaz，Modoi关于三角范畴的理想逼近理论.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
