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.
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）.
作者
林记
LIN Ji(School of Mathematics and Statistics, Fuyang Teachers Collage, Fuyang 236037, Chin)
出处
《数学杂志》
CSCD
北大核心
2016年第6期1201-1208,共8页
Journal of Mathematics
基金
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)
