On Étale Morphisms

Algebraic Geometry
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Tsakanikas Nickos
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On Étale Morphisms

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Post by Tsakanikas Nickos »

Consider the morphisms of schemes $ f \ \colon X \longrightarrow Y $ and $ g \ \colon Y \longrightarrow Z $. If $ g \circ f $ is étale and $g$ is unramified, then show that $f$ is étale.
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