Chencheng Zhang

collaborators

5 papers

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 $ω$ -…

math.RA2026

A counterexample to Enochs' conjecture under $V = L$

Chencheng Zhang

Assuming the nonexistence of uncountable measurable cardinals, we construct an $F_{2}$ -algebra and a covering class of right modules which is not closed under colimits of cou…

math.RA2026

Two-sided coherent algebras over any field with $P GF (R) ⊊ G P (R)$

Chencheng Zhang

For a ring $R$ , let $G P (R)$ , $GF (R)$ , and $P GF (R)$ denote the classes of Gorenstein projective, Gorenstein flat, and projectively coresolved Gorenstei…

math.RA2026

Commutative coherent rings with $G P \neq \subseteq GF$

Chencheng Zhang

For every field $k$ , we construct a commutative coherent $k$ -algebra admitting a Gorenstein projective module that is not Gorenstein flat.

On the existence of Gorenstein injective covers

A note on inverse limits of injective modules

A counterexample to Enochs' conjecture under V=L

Two-sided coherent algebras over any field with PGF(R)⊊GP(R)

Commutative coherent rings with GP⊆GF

A counterexample to Enochs' conjecture under $V = L$

Two-sided coherent algebras over any field with $P GF (R) ⊊ G P (R)$

Commutative coherent rings with $G P \neq \subseteq GF$