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20212023
most citedConstructing projective resolution and taking cohomology for gentle algebras in the geometric model

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.RT2023★ 1 cited

Constructing projective resolution and taking cohomology for gentle algebras in the geometric model

Yu-Zhe Liu, Chao Zhang, Houjun Zhang

The geometric models for the module category and derived category of any gentle algebra were introduced to realize the objects in module category and derived category by permissibl…

math.RT2022★ 1 cited

There are no strictly shod algebras in hereditary gentle algebras

Houjun Zhang, Yu-Zhe Liu

We prove that there are no strictly shod algebras in hereditary gentle algebras by geometric models. As an application, we give a classification of the silted algebras for Dynkin t…

math.RT2022

Classification silted algebras for a quiver of Dynkin type via geometric models

Yu-Zhe Liu, Houjun Zhang

Let $\Q$ be the quiver of Dynkin type with linear orientation and $A_{n}=k\Q$. In this paper, we give a complete classification of the silted algebras of type $A_{n}…

math.RT2022

Relative left Bongartz completions and their compatibility with mutations

Peigen Cao, Yu Wang, Houjun Zhang

In this paper, we introduce relative left Bongartz completions for a given basic -rigid pair in the module category of a finite dimensional algebra . They give a fami…

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

The ST correspondence for proper non-positive dg algebras

Houjun Zhang

Let be a proper non-positive dg algebra over a field . For a simple-minded collection of the finite-dimensional derived category , we construct a 'dual'…