三角范畴的coherent函子范畴的recollement（英文）  

RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES

作　　者：林记[1] LIN Ji(School of Mathematics and Statistics, Fuyang Teachers Collage, Fuyang 236037, Chin)

机构地区：[1]阜阳师范学院数学与统计学院,安徽阜阳236037

出　　处：《数学杂志》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)

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）.

关 键 词：RECOLLEMENT 三角范畴 coherent函子范畴 ABEL范畴 

分 类 号：O153.3[理学—数学]