Xiaojin Zhang

activity

20092026

τ

-tilting modules over the Auslander algebra of

K [x] / (x^{n})

22 citations · 74 across the 19 of their papers we have counts for

collaborators

22 papers

math.RT2026

Relative Suspension and Higher Delooping for Support $τ$ -Tilting Modules

Mingfei Xu, Xiaojin Zhang

We construct relative suspension for the exact category generated by a support $τ$ -tilting module and characterize higher delooping by the units of the resulting adjunction, which…

math.RT2026

The Auslander-Reiten conjecture for algebras with radical cube zero

Xiaojin Zhang, Panyue Zhou

Let $A$ be a split finite-dimensional algebra over a field whose radical $J$ satisfies $J^{3} = 0$ , and let $s$ be the number of isomorphism classes of simple $A$ -modules. We prove tha…

math.RT2026

Self-Orthogonal $τ$ -Tilting Modules and Tilting Modules II: Annihilator Separation

Xiaojin Zhang

Let $A$ be an Artin algebra and let $T$ be a self-orthogonal $τ$ -tilting right $A$ -module. Set $I=\Ann_A(T)$. We prove that \[ \Hom_A(I,T)=0=\Ext_A^n(I,T)\qquad(n\geq 1). \] It fol…

math.RT2026

$τ$ -tilting modules, depth and delooping level

Mingfei Xu, Xiaojin Zhang

Let $A$ be a finite-dimensional basic algebra over an algebraically closed field $K$ , $T$ a finitely generated support $τ$ -tilting right $A$ -module and $B = End_{A} T$ . Denote by…

math.RT2023

A non-vanishing result on the singularity category

Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang +1

We prove that a virtually periodic object in an abelian category gives rise to a non-vanishing result on certain Hom groups in the singularity category. Consequently, for any artin…

math.RT2022

On the number of tilting modules over a class of Auslander algebras

Dan Chen, Xiaojin Zhang

Let $Λ$ be a radical square zero algebra of a Dynkin quiver and let $Γ$ be the Auslander algebra of $Λ$ . Then the number of tilting right $Γ$ -modules is $2^{m - 1}$ if $Λ$ is of $A_{…

Relative Suspension and Higher Delooping for Support τ-Tilting Modules

The Auslander-Reiten conjecture for algebras with radical cube zero

Self-Orthogonal τ-Tilting Modules and Tilting Modules II: Annihilator Separation

τ-tilting modules, depth and delooping level

A non-vanishing result on the singularity category

On the number of tilting modules over a class of Auslander algebras

Relative Suspension and Higher Delooping for Support $τ$ -Tilting Modules

Self-Orthogonal $τ$ -Tilting Modules and Tilting Modules II: Annihilator Separation

$τ$ -tilting modules, depth and delooping level