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Finitely generated and integral equals finite

From Commalg

Revision as of 21:19, 2 February 2008 by Vipul (talk | contribs) (New page: ==Statement== Let <math>f:R \to S</math> be a homomorphism of commutative unital rings. Then <math>f</math> is a finite morphism if and only if <math>f</math> is [[finitely genera...)

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Statement

Let $f : R \to S$ be a homomorphism of commutative unital rings. Then $f$ is a finite morphism if and only if $f$ is finitely generated and integral.

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