三角范畴的coherent函子范畴的recollement
RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES

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)