Chencheng Zhang

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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.

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 $G P \neq \subseteq GF$