If u 1 , , U n is algebraically independent over F, then F and K(u 1 , , u n ) are linearly disjoint over K ...

This statement is false Counterexample Let F Kx wher ...

If {u 1 , ... , U n } is algebraically independent over F, then F and

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If {u₁, ... , U_n} is algebraically independent over F, then F and K(u₁, ... , u_n) are linearly disjoint over K.

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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 20, 2023 02:59 AM

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If {u 1 , ... , U n } is algebraically independent over F, then F and

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Algebra Graduate Texts In Mathematics 73

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