5 papers · 1 filter
The Extension dimension of syzygy module categories
Junling Zheng, Lulu Tian, Qianyu Shu
In this paper, our primary focus is on investigating the extension dimensions of syzygy module categories associated with Artin algebras, particularly under various equivalences. W…
Igusa-Todorov distances
Jinbi Zhang, Junling Zheng
A new homological dimension, called the Igusa-Todorov distance, is introduced to measure how far an Artin algebra is from being an Igusa-Todorov algebra. An upper bound for the dim…
Extension dimensions under singular equivalences and recollements
Jinbi Zhang, Junling Zheng
The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dime…
The derived dimensions and representation distances of artin algebras
Junling Zheng, Yingying Zhang
There is a well-known class of algebras called Igusa-Todorov algebras which were introduced in relation to finitistic dimension conjecture. As a generalization of Igusa-Todorov alg…
The Orlov spectra of abelian categories
Junling Zheng, Yu-Zhe Liu
We introduced the notion of Orlov spectra of Abelian categories, and study its some properties. In particular, we give precise result of Orlov spectra of algebras with type $\mathb…