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Chen-Cheng Zhang

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Preprint Sep 2026

A note on inverse limits of injective modules

Let $R$ be a ring and $M$ a left $R$-module. We prove that $M$ is an $\omega_1$-indexed inverse limit of injective modules with split epimorphic connecting maps, and $M$ is also an $\omega$-indexed inverse limit of a stationary tower defined by a split monic endomorphism of one injective module. These constructions ans...

Chen-Cheng Zhang · 0 citations
Preprint Sep 2026

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

Assuming the nonexistence of uncountable measurable cardinals, we construct an $\mathbb F_2$-algebra and a covering class of right modules which is not closed under colimits of countable chains. This gives a counterexample to Enochs'conjecture under $V=L$.

Chen-Cheng Zhang · 0 citations

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