Proof that Let E 1 and E 2 be subfields of F and X a subset of F If every element of E 1 is algebraic over E 2 , then every element of E 1 (X) is algebraic over E 2 (X) ...

ANSWER Yes To prove this let be an element of E1X Then can ...

Proof that Let E 1 and E 2 be subfields of F and X a subset of

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Proof that Let E₁ and E₂ be subfields of F and X a subset of F. If every element of E₁ is algebraic over E₂, then every element of E₁(X) is algebraic over E₂(X).

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:50 AM

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Proof that Let E 1 and E 2 be subfields of F and X a subset of

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Algebra Graduate Texts In Mathematics 73

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