Recollements arising from cotorsion pairs on extriangulated categories

被引：0
作者：
Yonggang Hu
Panyue Zhou
机构：
[1] Tsinghua University,Department of Mathematical Sciences
[2] Hunan Institute of Science and Technology,College of Mathematics
来源：
Frontiers of Mathematics in China | 2021年 / 16卷
关键词：
Extriangulated categories; recollements; cotorsion pairs; adjoint pairs; 13D30; 18E05; 18G80; 18E10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated category. As an application, this result generalizes the work by W. J. Chen, Z. K. Liu, and X. Y. Yang in a triangulated case [J. Algebra Appl., 2018, 17(5): 1–15]. Moreover, it highlights new phenomena when it applied to an exact category. Finally, we give some applications of our main results. In particular, we obtain Krause’s recollement whose proofs are both elementary and very general.
引用
收藏
页码：937 / 955
页数：18
相关论文
共 18 条
[1]  
Chen W J(2018)Recollements associated to cotorsion pairs J Algebra Appl 17 1-15
[2]  
Liu Z K(2004)The flat model structure on Ch( Trans Amer Math Soc 356 3369-3390
[3]  
Yang X Y(2008)) Homology Homotopy Appl 10 283-304
[4]  
Gillespie J(2016)Cotorsion pairs and degreewise homological model structures Adv Math 291 859-911
[5]  
Gillespie J(2019)Gorenstein complexes and recollements from cotorsion pairs J Algebra 528 96-149
[6]  
Gillespie J(1986)Hearts of twin cotorsion pairs on extriangulated categories Invent Math 84 403-435
[7]  
Liu Y(2019)Elementary construction of perverse sheaves Cah Topol Géom Différ Catég 60 117-193
[8]  
Nakaoka H(2020)Extriangulated categories, Hovey twin cotorsion pairs and model structures J Algebra Appl 19 2050142-232
[9]  
MacPherson R(2018)One-sided triangulated categories induced by concentric twin cotorsion pairs J Algebra 502 196-253
[10]  
Vilonen K(2020)Triangulated quotient categories revisited Front Math China 15 225-undefined
12