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

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2 papers · 1 filter

math.RT2019

Self-orthogonal tau-tilting modules and tilting modules

Xiaojin Zhang

Let $Λ$ be an artin algebra and $T$ a $τ$ -tilting $Λ$ -module. We prove that $T$ is a tilting module if and only if ${\rm Ext}_Λ^{i}(T,\Fac T)=0$ for all $i \geq 1$ , where $\Fac T$ i…

math.RT2019

Three results for tau-rigid modules

Zongzhen Xie, Libo Zan, Xiaojin Zhang

$τ$ -rigid modules are essential in the $τ$ -tilting theory introduced by Adachi, Iyama and Reiten. In this paper, we give equivalent conditions for Iwanaga-Gorenstein algebras with…