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幂等完备化,Serre函子与Recollement
  • ISSN号：0438-0479
  • 期刊名称：《厦门大学学报：自然科学版》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学] O154[理学—数学;理学—基础数学]
  • 作者机构：[1]福州大学数学与计算机科学学院,福建福州350108
  • 相关基金：国家自然科学基金项目（10931006）; 福州大学科技发展基金项目（0460-022345,2011-XQ-22）
作者： 唐丽丹[1]
关键词： 幂等完备化, Serre函子, RECOLLEMENT, 反射recollement, T-结构, idempotent completion, Serre funtor, recollement, reflecting recollement, t-structure
中文摘要：

给定加法范畴A,证明了若A存在右（左）Serre函子,则其幂等完备化范畴A-存在右（左）Serre函子.在此基础上,说明了对三角范畴上的recollementD′ D D″,若D存在Serre函子,则-D允许两个关于-D″及-D′的反射recolle-ments.作为应用,证明了给定recollement两端三角范畴D′,D″上的t-结构可诱导出中间范畴的幂等完备化范畴D-上3个t-结构.

英文摘要：

Let A be an additive category,we prove that if A has a right（or left） Serre functor,then its idempotent completion A- has a right（or left） Serre functor.Thus,given a recollement on triangulated categories D′D D″,if D has a Serre functor,then D- admits two reflecting recollements.As an application,we induces three t-structures on D- from the given t-structures（D′≤0,D′≥0）,（D″≤0,D″≥0） on D′ and D″.

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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575