Torsion pairs in recollements of abelian categories
Torsion pairs in recollements of abelian categories作者机构：College of Science Henan University of Engineering Zhengzhou 451191 China Department of Mathematics Nanjing University Nanjing 210093 China
出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)
年 卷 期：2018年第13卷第4期
页 面：875-892页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The authors thank Daniel Juteau for sending us paper and thank Teimuraz Pirashvili and the referees for the useful suggestions. This work was partially supported by the National Natural Science Foundation of China (Grant No. 11571164) a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX17_0019)
主 题：Torsion pairs recollements abelian categories
摘 要：For a recollement （A,B,C） of abelian categories, we show that torsion pairs in A and C can induce torsion pairs in B; and the converse holds true under certain conditions.
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