%0 Journal Article
%T 三角范畴的coherent函子范畴的recollement<br>RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES
%A 作者
%A 林记
%J 数学杂志
%D 2016
%X 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.<br>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)
%K recollement 三角范畴 coherent函子范畴 abel范畴&lt
%K br&gt
%K recollement triangulated category coherent functor category abelian category
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160609&flag=1