Reduction of Wide Subcategories and Recollements  

作　　者：Yingying Zhang 

机构地区：[1]Department of Mathematics,Huzhou University,Huzhou,Zhejiang 313000,China

出　　处：《Algebra Colloquium》2023年第4期713-720,共8页代数集刊（英文版）

基　　金：This work was supported by the NSFC(Grant No.12201211);the China Scholarship Council(Grant No.202109710002).

摘　　要：In this paper,we prove a reduction result on wide subcategories of abelian categories which is similar to the Calabi-Yau reduction,silting reduction andτ-tilting reduction.More precisely,if an abelian category A admits a recollement relative to abelian categories A'and A'',which is denoted by(A',A,A'',i^(*),i_(*),i^(!),j_(!),j^(*),j_(*)),then the assignment C→j^(*)(C)defines a bijection between wide subcategories in A containing i_(*)(A')and wide subcategories in A''.Moreover,a wide subcategory C of A containing i_(*)(A')admits a new recollement relative to A'and j_(*)(C)which is induced from the original recollement.

关 键 词：abelian category wide subcategory RECOLLEMENT 

分 类 号：O154.1[理学—数学]