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user19475
user19475

Is there a Noether normalisation lemma for finitely generated (flat) algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? It seems one can tensorise with the quotient field and then apply the usual Noether normalisation lemma. I couldn't find this in the literature, so I suspect it is wrong.

Is there a Noether normalisation lemma for finitely generated (flat) algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? I couldn't find this in the literature, so I suspect it is wrong.

Is there a Noether normalisation lemma for finitely generated (flat) algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? It seems one can tensorise with the quotient field and then apply the usual Noether normalisation lemma. I couldn't find this in the literature, so I suspect it is wrong.

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user19475
user19475

Is there a Noether normalisation lemma for finitely generated (flat) algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? I couldn't find this in the literature, so I suspect it is wrong.

Is there a Noether normalisation lemma for finitely generated algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? I couldn't find this in the literature, so I suspect it is wrong.

Is there a Noether normalisation lemma for finitely generated (flat) algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? I couldn't find this in the literature, so I suspect it is wrong.

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user19475
user19475

Noether normalisation over $\mathbf{Z}$

Is there a Noether normalisation lemma for finitely generated algebras over $\mathbf{Z}$ (or more generally principal ideal domains)? I couldn't find this in the literature, so I suspect it is wrong.