Hanpeng Gao

most citedSilting Modules over Triangular Matrix Rings

11 citations · 11 across the 6 of their papers we have counts for

collaborators

7 papers

math.RT2021

$τ$ -Tilting modules over one-point extensions by a simple module at a source point

Hanpeng Gao

Let $B$ be an one-point extension of a finite dimensional $k$ -algebra $A$ by a simple $A$ -module at a source point $i$ . In this paper, we classify the $τ$ -tilting modules over $B$ .…

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.RT2020

A note on the Hasse quiver of $τ$ -tilting modules

Hanpeng Gao

Let $Λ$ be an algebra with a indecomposable projective-injective module. Adachi gave a method to construct the Hasse quiver of support $τ$ -tilting $Λ$ -modules. In this paper, we wi…

math.RT2020

Extending silted algebras to cluster-tilted algebras

Hanpeng Gao

It is well known that the relation-extensions of tilted algebras are cluster-tilted algebras. In this paper, we extend the result to silted algebras and prove some extension of sil…

math.RT2020★ 11 cited

Silting Modules over Triangular Matrix Rings

Hanpeng Gao, Zhaoyong Huang

Let $Λ, Γ$ be rings and $R = (Λ M 0 Γ)$ the triangular matrix ring with $M$ a $(Γ, Λ)$ -bimodule. Let $X$ be a right $Λ$ -module and $Y$ a ri…

math.RT2020

Support $τ$ -Tilting Modules under Split-by-Nilpotent Extensions

Hanpeng Gao, Zhaoyong Huang

Let $Γ$ be a split extension of a finite-dimensional algebra $Λ$ by a nilpotent bimodule $_{Λ} E_{Λ}$ , and let $(T, P)$ be a pair in $mod Λ$ with $P$ projective. We prove that $(T\otimes…

τ-Tilting modules over one-point extensions by a simple module at a source point

Support τ-tilting modules over one-point extensions

A note on the Hasse quiver of τ-tilting modules

Extending silted algebras to cluster-tilted algebras

Silting Modules over Triangular Matrix Rings

Support τ-Tilting Modules under Split-by-Nilpotent Extensions

$τ$ -Tilting modules over one-point extensions by a simple module at a source point

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

A note on the Hasse quiver of $τ$ -tilting modules

Support $τ$ -Tilting Modules under Split-by-Nilpotent Extensions