| 1. | This in turn implies that all finite extensions are algebraic.
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| 2. | A finitely generated extension may not be a finite extension.
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| 3. | Let L / K be a finite extension.
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| 4. | For any finite extension of fields, the restriction of scalars takes quasiprojective varieties to quasiprojective varieties.
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| 5. | :Elliptic curves are mathematical objects of certain forms defined over a finite extensions of prime fields.
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| 6. | This means that the boundary must either come from nowhere or the whole future ends at some finite extension.
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| 7. | If E \ supseteq F is a finite extension, its degree is the product of the degrees and.
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| 8. | In particular, an algebraic integer is an integral element of a finite extension K / \ mathbb { Q }.
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| 9. | Let L be a finite extension of the global field K . We define L / K as the global extension.
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| 10. | When it is a finite extension, this is a finite group of order equal to the degree of the extension.
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