13 citations · 13 across the 6 of their papers we have counts for
7 papers
Keller's conjecture for split finite-dimensional algebras
Changchang Xi, Jinbi Zhang
We prove Keller's conjecture for every split finite-dimensional algebra over an arbitrary field.
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…
On the asymmetry of finite delooping levels
YongLiang Sun, Jinbi Zhang
For any Artin algebra, we construct a related algebra that increases the delooping level on one side while decreasing it to zero on the opposite side. This dual construction corres…
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…
New invariants of stable equivalences of algebras
Changchang Xi, Jinbi Zhang
We show that stable equivalences between Artin algebras without nodes preserve homological data that provide upper bounds for finitistic dimension, and that stable equivalences bet…
Invariant algebras of matrices and symmetric polynomials of partitions
Changchang Xi, Jinbi Zhang
For a field of characteristic and a matrix in the full matrix algebra over , let be the centralizer algebra of in .…
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…