Juxiang Sun

collaborators

5 papers

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…

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

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

$ω$ -left approximation dimensions under Stable equivalence