Juxiang Sun

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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.RT2025

Constructions of symmetric separable equivalences and their applications

Juxiang Sun, Guoqiang Zhao

Let $I^$ and $I^$ be symmetrically separably equivalent Artin algebras. We prove that there exist symmetrical separable equivalences between certain endomorphism algebras of module…

math.RT2025

Gorenstein categories and separable equivalences

Guoqiang Zhao, Juxiang Sun

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

math.RT2025

$I ¨ $ -left approximation dimensions under Stable equivalence

Juxiang Sun, Guoqiang Zhao, Junling Zheng

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

Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions

Silting and tilting objects in cleft extensions of abelian categories

Constructions of symmetric separable equivalences and their applications

Gorenstein categories and separable equivalences

I¨-left approximation dimensions under Stable equivalence

$I ¨ $ -left approximation dimensions under Stable equivalence