Source: wikibot/noether-normalization-lemma

= Noether normalization lemma
{wiki=Noether_normalization_lemma}

The Noether Normalization Lemma is a fundamental result in algebraic geometry and commutative algebra that relates to the structure of certain rings and their properties. Named after the mathematician Emmy Noether, the lemma provides a way to simplify the study of finitely generated algebras over a field. \#\#\# Statement of Noether Normalization Lemma: Let \\( A \\) be a finitely generated algebra over a field \\( k \\).