摘要
作者给出了负微分分次范畴A的导出范畴D(A)上的一个自然t-结构,并证明了D(A)与由该t-结构的heart生成的关于同构、直和与直积封闭的三角满子范畴一致,进一步地,如果A还是同调有界的,那么该heart为D(A)的生成子的集合。
The author gives a natural t-structure for the derived category D(A) of a negative DG category A. Let H be the heart of the t-structure, it is proved that D(A) coincides with its smallest strictly full triangulated subcategory containing H and closed under coproducts and products. Moreover, if A is homology bounded, then H is a set of generators of D(A).
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期39-43,共5页
Journal of Sichuan University(Natural Science Edition)
关键词
三角范畴
DG范畴
T-结构
triangulated category, DG category, t-structure