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A pure subalgebra of a finitely generated algebra is finitely generated

Research paper by Mitsuyasu Hashimoto

Indexed on: 15 Jun '04Published on: 15 Jun '04Published in: Mathematics - Commutative Algebra



Abstract

We prove the following. Let $R$ be a Noetherian ring, $B$ a finitely generated $R$-algebra, and $A$ a pure $R$-subalgebra of $B$. Then $A$ is finitely generated over $R$.