Zongzhen Xie

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20182025

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5 papers · 1 filter

math.RT2025

Classification of silted algebras for two quivers of Dynkin type $A_{n}$

Zongzhen Xie, Dong Yang, Houjun Zhang

In this paper, we give a complete classification of silted algebras for the quiver $A_{n}$ of type $A_{n}$ with linear orientation and for the qu…

math.RT2021

A differential graded approach to the silting theorem

Zongzhen Xie, Dong Yang, Houjun Zhang

A silting theorem was established by Buan and Zhou as a generalisation of the classical tilting theorem of Brenner and Butler. In this paper, we give an alternative proof of the th…

math.RT2021

A Bijection theorem for Gorenstein projective τ-tilting modules

Zongzhen Xie, Xiaojin Zhang

We introduce the notions of Gorenstein projective $τ$ -rigid modules, Gorenstein projective support $τ$ -tilting modules and Gorenstein torsion pairs and give a Gorenstein analog to…

math.RT2020

Support $τ$ -tilting modules over one-point extensions

Hanpeng Gao, Zongzhen Xie

Let $B$ be the one-point extension algebra of $A$ by an $A$ -module $X$ . We proved that every support $τ$ -tilting $A$ -module can be extended to be a support $τ$ -tilting $B$ -module b…

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…