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math.RT2022
Igusa-Todorov distances of Artin algebras
Junling Zheng
We introduce Igsua-Todorov distances of Artin algebra, prove its invariance under derived equivalence, present its application to exterior algebra, and establish the link between t…
math.RT2022
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…
math.RT2022★ 6 cited
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…