| 函子范畴的Recollement |
| |
| 引用本文： | 林增强.函子范畴的Recollement[J].数学研究,2010,43(2):193-197. |
| |
| 作者姓名： | 林增强 |
| |
| 作者单位： | 华侨大学数学科学学院,福建,泉州,362021 |
| |
| 基金项目： | 华侨大学高层次人才科研启动项目 |
| |
| 摘 要： | 函子范畴是—类重要的范畴，因为许多常见的范畴都是函子范畴，并且任意给定的范畴都可以通过Yoneda引理嵌入到一个函子范畴，而函子范畴具有比原范畴更好的性质。本文证明了Abel范畴的recollement可以自然诱导两类函子范畴的recollment．应用到k-线性范畴，得到k．线性Abel范畴的recollement可以自然诱导其模范畴的recollement．
|
| 关 键 词： | 函子范畴 k-线性范畴 recollement |
Recollement of Functor Categories |
| |
| Lin Zengqiang.Recollement of Functor Categories[J].Journal of Mathematical Study,2010,43(2):193-197. |
| |
| Authors: | Lin Zengqiang |
| |
| Institution: | Lin Zengqiang (School of Mathematical Sciences, Huaqiao University, Quanzhou Fujian 362021) |
| |
| Abstract: | Functor categories are important in category theory. Because many commonly occurring categories are functor categories. Moreover, every category embeds in a functor category via the Yoneda embedding, and the functor category often has nicer properties than the original category. In this paper, it is showed that a recollement of abelian categories can induce two recollements of functor categories naturally. As a result, a recollement of k-linear abelian categories can induce a recollement of corresponding module categories. |
| |
| Keywords: | recollement |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
