activity
20192025
most citedThe Extension Dimension of Abelian Categories

12 citations · 20 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2025

-left approximation dimensions under Stable equivalence

Juxiang Sun, Guoqiang Zhao, Junling Zheng

In this paper, we investigate some transfer properties of -left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direc…

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…

math.RT2021★ 2 cited

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…

math.RT2021

The derived dimensions of -Igusa-Todorov algebras

Junling Zheng

We give an upper bound for the dimension of the bounded derived categories of -Igusa-Todorov algebras which is a generalization of -Igusa-Todorov algebras, where ar…

math.RA2020

An Upper Bound for the Dimension of Bounded Derived Categories

Junling Zheng, Zhaoyong Huang

Let be an artin algebra. We give an upper bound for the dimension of the bounded derived category of the category of finitely generated right -modules in terms of t…

math.RT2019★ 12 cited

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…