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Degree of a field extension

In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the "size" of the field extension. The concept plays an important role in many parts of mathematics, including algebra and number theory—indeed in any area where fields appear prominently.

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The multiplicativity formula for degrees

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Degree of a field extension

Nodes39
Edges38
Triples1
Avg. degree1.95
Density0.051282
Components1

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Degree of a field extension

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is a · 1
Degree of a field extension → rough measure of the

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field degree fields extension infinite finite formula elements case basis linearly independent theory proof mathematics algebra equal form indeed dimension

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SubjectPredicateObjectConfidenceSrc
Degree of a field extensionis arough measure of the0.90text

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