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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…