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math.RT2026
Examples of nontrivial presilting objects in a singularity category
Changchang Xi, Jinbi Zhang
It was conjectured that no presilting objects exist in the singularity category of a finite-dimensional algebra over a field except the zero object. In this note, we give counterex…
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.RT2020
Structure of centralizer algebras
Changchang Xi, Jinbi Zhang
Given an matrix over a unitary ring , the centralizer of in the full matrix ring is called a principal centralizer matrix ring, denoted…