Guoqiang Zhao

activity

20092026

most citedGlobal dimensions of rings with respect to a semidualizing module

4 citations · 6 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2026

Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions

Guoqiang Zhao, Juxiang Sun

Let $(B, A, i, e, l)$ be a cleft extension of abelian categories. We prove that the functor $l$ preserves and reflects (Wakamatsu) tilting pairs of subcategories…

math.RT2026

Silting and tilting objects in cleft extensions of abelian categories

Guoqiang Zhao, Juxiang Sun

We establish connections between silting and tilting objects in an abelian category $B$ and those in a cleft extension $A$ of $B$ , which provides a me…

math.RA2025

$X$ -Gorenstein projective and $Y$ -Gorenstein injective modules over tensor rings

Guoqiang Zhao, Juxiang Sun

Let $T_{R} (M)$ be a tensor ring and $X$ , $Y$ be two classes of $R$ -modules. Under certain conditions, we prove that a $T_{R} (M)$ -module $(A, u)$ is $Ind(\mathcal{X}…

math.AC2025

Construction of Gorenstein projective modules over tensor rings

Guoqiang Zhao, Juxiang Sun

For a tensor ring $T_{R} (M)$ , we obtain sufficient and necessary conditions to describe all complete projective resolutions and all Gorenstein projective modules. As a consequence, w…

math.RT2025

Constructions of symmetric separable equivalences and their applications

Juxiang Sun, Guoqiang Zhao

Let $Λ$ and $Γ$ be symmetrically separably equivalent Artin algebras. We prove that there exist symmetrical separable equivalences between certain endomorphism algebras of modules.…

math.RT2025

Gorenstein categories and separable equivalences

Guoqiang Zhao, Juxiang Sun

Let $C$ be an additive subcategory of left $Λ$ -modules, we establish relations of the orthogonal classes of $C$ and (co)res $C$ under sepa…

math.RT2025

$ω$ -left approximation dimensions under Stable equivalence

Juxiang Sun, Guoqiang Zhao, Junling Zheng

In this paper, we investigate some transfer properties of $ω$ -left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direc…

math.AC2015

Gorenstein (semi)hereditary rings with respect to a semidualizing module

Guoqiang Zhao, Juxiang Sun

Let $C$ be a semidualizing module. We first investigate the properties of finitely generated $G_{C}$ -projective modules. Then, relative to $C$ , we introduce and study the rings of Go…

math.RA2013★ 4 cited

Global dimensions of rings with respect to a semidualizing module

Guoqiang Zhao, Juxiang Sun

In this paper, the notion of strongly G_C-projective and injective modules is introduced, where C is a semidualizing module. Using these modules we can obtain a new characterizatio…

math.RA2009★ 2 cited

$n$ -Strongly Gorenstein Projective, Injective and Flat modules

Guoqiang Zhao, Zhaoyong Huang

In this paper, we study the relation between $m$ -strongly Gorenstein projective (resp. injective) modules and $n$ -strongly Gorenstein projective (resp. injective) modules whenever…

Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions

Silting and tilting objects in cleft extensions of abelian categories

X-Gorenstein projective and Y-Gorenstein injective modules over tensor rings

Construction of Gorenstein projective modules over tensor rings

Constructions of symmetric separable equivalences and their applications

Gorenstein categories and separable equivalences

ω-left approximation dimensions under Stable equivalence

Gorenstein (semi)hereditary rings with respect to a semidualizing module

Global dimensions of rings with respect to a semidualizing module

n-Strongly Gorenstein Projective, Injective and Flat modules

$X$ -Gorenstein projective and $Y$ -Gorenstein injective modules over tensor rings

$ω$ -left approximation dimensions under Stable equivalence

$n$ -Strongly Gorenstein Projective, Injective and Flat modules