[1]林增强.t-结构与心的Recollement[J].华侨大学学报(自然科学版),2010,31(3):356-360.[doi:10.11830/ISSN.1000-5013.2010.03.0356]
　LIN Zeng-qiang.t-Structure and Recollement of Hearts[J].Journal of Huaqiao University(Natural Science),2010,31(3):356-360.[doi:10.11830/ISSN.1000-5013.2010.03.0356]
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t-结构与心的Recollement()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第3期
页码:
356-360
栏目:
出版日期:
2010-05-20

文章信息/Info

Title:
t-Structure and Recollement of Hearts
文章编号:
1000-5013(2010)03-0356-05
作者:
林增强
华侨大学数学科学学院
Author(s):
LIN Zeng-qiang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
三角范畴;  t-结构;  心;  Recollement
Keywords:
triangulated category;  t-structure;  heart;  Recollement
分类号:
O154.1
DOI:
10.11830/ISSN.1000-5013.2010.03.0356
文献标志码:
A
摘要:
设三角范畴D允许有关于三角范畴D′和D″的Recollement,给出D中t-结构能够诱导D′和D″的t-结构的充分必要条件.证明在一定条件下,D中t-结构的心允许有关于D′和D″的t-结构的心的Recollement,从而由已知三角范畴的Recollement构造若干Abel范畴的Recollement.
Abstract:
Let D,D ′ and D″ be triangulated categories.Suppose D admits a Recollement relative to D′ and D″.We give some necessary and sufficient criterions for a t-structrue on D inducing t-structures on D ′ and D″.Moreover,we take the advantage of the relationship between a t-structure on D and t-structures on D′ and D″ to show that the heart of the t-structure on D admits a Recollement relative to the other two hearts.Thus,we get a few Recollements of abelian categories according to a Recollement of triangulated categories.

参考文献/References:

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备注/Memo

备注/Memo:
华侨大学高层次人才科研启动项目(08BS506)
更新日期/Last Update: 2014-03-23