12 citations · 18 across the 4 of their papers we have counts for
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Extension dimensions: derived equivalences and stable equivalences
Jinbi Zhang, Junling Zheng
We show that the difference of the extension dimensions of two derived equivalent algebras is bounded above by the minimal length of a tilting complex associated with a derived equ…
The derived and extension dimensions of abelian categories
Junling Zheng, Zhaoyong Huang
For an abelian category , we establish the relation between its derived and extension dimensions. Then for an artin algebra , we give the upper bounds of the extens…
Radical layer length and syzygy-finite algebras
Junling Zheng
Let be an artin algebra. We obtain that is syzygy-finite when the radical layer length of is at most two; as two consequences, we give a new upper bound for the dimensi…
The Extension Dimension of Abelian Categories
Junling Zheng, Xin Ma, Zhaoyong Huang
Let $\A$ be an abelian category having enough projective objects and enough injective objects. We prove that if $\A$ admits an additive generating object, then the extension dimens…