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 \( k \).