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Noether normalization lemma

In mathematics, the Noether normalization lemma is a result of commutative algebra, introduced by Emmy Noether in 1926. It states that for any field k {\displaystyle k} , and any finitely generated commutative k-algebra A {\displaystyle A} , there exist elements y 1 , y 2 , … , y d {\displaystyle y_{1},y_{2},\ldots ,y_{d}} in A {\displaystyle A} that are…

Applications, Overview & Illustrative application: generic freeness

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Illustrative application: generic freeness

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Noether normalization lemma

Nodes47
Edges46
Triples20
Avg. degree1.96
Density0.042553
Components1

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Noether normalization lemma

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related to Illustrative application: generic freeness · 11
Noether normalization lemma → For, Hence, Krull, Let, Multiplying, Noether, Noetherian, The, Then, To, We
related to Statement and proof · 8
Noether normalization lemma → If, Krull, Let, Mumford's Red Book, Nagata, The, Then, Theorem
is a · 1
Noether normalization lemma → result of commutative algebra

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displaystyle finite integral field theorem generated dimension finitely normalization ring affine dots noether krull space algebraically independent lemma neq m-1

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SubjectPredicateObjectConfidenceSrc
Noether normalization lemmais aresult of commutative algebra0.90text
Noether normalization lemmarelated to Illustrative application: generic freenessLet0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessNoetherian0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessThen0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessTo0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessWe0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessKrull0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessThe0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessFor0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessHence0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessNoether0.60section
Noether normalization lemmarelated to Illustrative application: generic freenessMultiplying0.60section

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