Chencheng Zhang

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math.AC2026

On the existence of Gorenstein injective covers

Yuhui Hua, Shun-Jie Li, Chencheng Zhang

For a locally finitely generated Grothendieck category, we characterise the Gorenstein injective covering property by several equivalent conditions, including closure under coprodu…

math.AC2026

A note on inverse limits of injective modules

Chencheng Zhang

Let $R$ be a ring and $M$ a left $R$ -module. We prove that $M$ is an $ω_{1}$ -indexed inverse limit of injective modules with split epimorphic connecting maps, and $M$ is also an $ω$ -…