Li Liang

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20212026

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math.RT2025

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories

Zhenxing Di, Liping Li, Li Liang

We prove that every Grothendieck topology induces a hereditary torsion pair in the category of presheaves of modules on a ringed site, and obtain a homological characterization of…

math.RA2025

Gorenstein homological modules over tensor rings

Zhenxing Di, Li Liang, Zhiqian Song +1

For a tensor ring $T_{R} (M)$ , under certain conditions, we characterize the Gorenstein projective modules over $T_{R} (M)$ , and prove that a $T_{R} (M)$ -module $(X, u)$ is Gorenstein projec…