Let $R$ and $S$ be two commutative rings and $f$ and $g$ be two homomorphisms from $R$ to $S$. Also, let $E$ be their equalizer, i.e. the subring $\{x \in R \vert f(x)=g(x)\}$.
If $R$ is a flat $E$-module, does this imply that it is faithfully flat?
2026-04-11 19:50:35.1775937035
Faithful flatness of equalizers
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