2020/12/06 by Wang, Li, Wei, Jiaqun, Zhang, Haicheng · 2 citations
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2012.03258
We give a simultaneous generalization of recollements of abelian categories and triangulated categories, which we call recollements of extriangulated categories. For a recollement (A, B, C) of extriangulated categories, we show that cotorsion pairs in A and C induce cotorsion pairs in B under certain conditions. As an application, our main result recovers a result given by Chen for recollements of triangulated categories, and it also shows a new phenomena when it is applied to abelian categories.