首页|Reduction of Wide Subcategories and Recollements
Reduction of Wide Subcategories and Recollements
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In this paper,we prove a reduction result on wide subcategories of abelian categories which is similar to the Calabi-Yau reduction,silting reduction and τ-tilting re-duction.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 assign-ment 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'andj*(C)which is induced from the original recollement.
abelian categorywide subcategoryrecollement
Yingying Zhang
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Department of Mathematics,Huzhou University,Huzhou,Zhejiang 313000,China
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