摘要
本文利用彭提出的用广义复形范畴以及广义复形范畴之间的锥扩张来构造三角范畴的方法,考虑了几类特殊的三角范畴,确定了这几类三角范畴的所有不可分解对象和它们的具体形式,并给出了它们的Auslander-Reiten箭图的结构.这些三角范畴提供了一些轨道范畴的一种新的实现.
Peng proposed two methods to construct triangulated categories from generalized chain com- plex categories and functors between them. In this paper, the author uses these methods to consider some specific triangulated categories, determines all the indecomposable objects of the triangulated cate- gories and their concrete forms. Then, the author draws their Auslander-Reiten quivers. From these Auslander-Reiten quivers one can see that they also provide a new kind of realization for the orbit categories of some triangulated categories.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第4期728-734,共7页
Journal of Sichuan University(Natural Science Edition)
