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三角范畴的coherent函子范畴的recollement
引用本文:林记.三角范畴的coherent函子范畴的recollement[J].数学杂志,2016,36(6):1201-1208.
作者姓名:林记
作者单位:阜阳师范学院数学与统计学院, 安徽 阜阳 236037
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).
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
收稿时间:2014/4/1 0:00:00
修稿时间:2014/10/28 0:00:00

RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES
LIN Ji.RECOLLEMENT OF COHERENT FUNCTOR CATEGORIES OVER TRIANGULATED CATEGORIES[J].Journal of Mathematics,2016,36(6):1201-1208.
Authors:LIN Ji
Institution:School of Mathematics and Statistics, Fuyang Teachers Collage, Fuyang 236037, China
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).
Keywords:recollement  triangulated category  coherent functor category  abelian category
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