Hanpeng Gao

activity

20202026

most citedSilting Modules over Triangular Matrix Rings

11 citations · 16 across the 10 of their papers we have counts for

collaborators

13 papers

math.RT2026

Relative Derived Delooping Levels and $τ$ -Tilting Modules

Hanpeng Gao, Dajun Liu, Houjun Zhang

Let $E$ be an essentially small idempotent-complete exact category with enough projective objects. We develop derived delooping levels in $E$ . We apply this fra…

math.RT2026

Higher Cotorsion Pairs on Image-Nilpotent $η$-Extensions

Dajun Liu, Hanpeng Gao

Let $\cB$ be an abelian category with enough projective and injective objects, and let $ \cA=\cB\ltimes_η\sF $ be an $η$-extension induced by a right exact endofunctor $\sF$.…

math.RT2026

Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions

Hanpeng Gao, Dajun Liu, Ruomu Xu

Let $B$ be a finite-dimensional algebra, $M\in\modu B$, and $A = B [M]$ the one-point extension. We give a stable two-step extension criterion for the new simple $A$ -module to have de…

math.RT2026

Projectively Wakamatsu Tilting Modules over One-Point Extensions

Dajun Liu, Jiaxuan Feng, Hanpeng Gao

Let $Γ = Λ [M]$ be the one-point extension of an algebra $Λ$ by a $Λ$ -module $M$ . We establish a method to lift projectively Wakamatsu tilting (PWT) modules from $mod Λ$ to…

math.RT2026

A characterization of IE-closed subcategories via $τ$ -tilting theory

Hanpeng Gao, Dajun Liu, Yu-Zhe Liu

Enomoto and Sakai classified functorially finite IE-closed subcategories over hereditary algebras in terms of twin rigid modules. Their approach uses the hereditary assumption esse…

math.RA2022

Homological Dimensions of Gentle Algebras via Geometric Models

Yu-Zhe Liu, Hanpeng Gao, Zhaoyong Huang

Let $A = k Q / I$ be a finite dimensional basic algebra over an algebraically closed field $k$ which is a gentle algebra with the marked ribbon surface $(\mathcal{S}_A,\mathcal{M}_A,Γ_A…

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…

math.RT2020★ 5 cited

On the Number of $τ$ -Tilting Modules over Nakayama Algebras

Hanpeng Gao, Ralf Schiffler

Let $Λ_{n}^{r}$ be the path algebra of the linearly oriented quiver of type $A$ with $n$ vertices modulo the $r$ -th power of the radical, and let $Λ_{n}^{r}$ be the path…

Relative Derived Delooping Levels and τ-Tilting Modules

Higher Cotorsion Pairs on Image-Nilpotent \(η\)-Extensions

Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions

Projectively Wakamatsu Tilting Modules over One-Point Extensions

A characterization of IE-closed subcategories via τ-tilting theory

Homological Dimensions of Gentle Algebras via Geometric Models

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

On the Number of τ-Tilting Modules over Nakayama Algebras

Relative Derived Delooping Levels and $τ$ -Tilting Modules

A characterization of IE-closed subcategories via $τ$ -tilting theory

$τ$ -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

On the Number of $τ$ -Tilting Modules over Nakayama Algebras