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math.RT2026
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.
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…