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Everything about Noether normalization lemma

Result of commutative algebra

In mathematics, the Noether normalization lemma is a result of commutative algebra, introduced by Emmy Noether in 1926. It states that for any field, and any finitely generated commutative k-algebra, there exist elements in that are algebraically independent over and such that is a finitely generated module over the polynomial ring. The integer is equal to the Krull dimension of the ring ; and if is an integral domain, is also the transcendence degree of the field of fractions of over k. Wikipedia →

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  2. Read the landmark paper: A Differential Analog of the Noether Normalization LemmaCited 2 times
  3. Go sideways: Verma moduleA closely related topic
  4. Go sideways: Integral elementA closely related topic

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