| 摘要: |
| 文章研究了三角范畴D及其coherent函子范畴A(D)的recollement之间的关系.利用D的recollement可以诱导A(D)的prerecollement,文章证明了该prerecollement是recollement的充分必要条件是D的recollement是可裂的;并且D的recollement可以诱导A(D)的prerecollement. |
| 关键词: recollement 三角范畴 coherent函子范畴 abel范畴 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by Excellent Staff Room of Fuyang Teachers College (2013JCJS03); Natural Science Foundation of Fuyang Teachers College (2015FSKJ05); Natural Science Foundation of Universities in Anhui Province (2015KJ016). |
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| RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES |
|
LIN Ji
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School of Mathematics and Statistics, Fuyang Teachers Collage, Fuyang 236037, China
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| Abstract: |
| The relationship between recollement of triangulated category D and recollement of its coherent functor category A(D) is studied. It is shown that the recollement of D induces the prerecollement of A(D) and the necessary and sufficient condition for it to be a recollement is that the recollement of D is split. Furthermore, we get the result that the recolloment of D could induce the prerecollement of A(D). |
| Key words: recollement triangulated category coherent functor category abelian category |
