| 负DG范畴的导出范畴上的t结构 |
| |
| 引用本文： | 傅昌建.负DG范畴的导出范畴上的t结构[J].四川大学学报(自然科学版),2009,46(1):39-43. |
| |
| 作者姓名： | 傅昌建 |
| |
| 作者单位： | 四川大学数学学院,成都,610064 |
| |
| 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.
|
| 关 键 词： | 三角范畴 DG范畴 t-结构 |
A note of t-structures on derived categories of negative DG categories |
| |
| FU Chang-Jian.A note of t-structures on derived categories of negative DG categories[J].Journal of Sichuan University (Natural Science Edition),2009,46(1):39-43. |
| |
| Authors: | FU Chang-Jian |
| |
| Institution: | School of Mathematics, Sichuan University |
| |
| Abstract: | 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). |
| |
| Keywords: | triangulated category DG category t-structure |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
