Let F be a finite dimensional extension of a finite field K. The norm NK F and

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Let F be a finite dimensional extension of a finite field K. The norm NK^F and the trace TK^F(considered as maps F → K) are surjective.

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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 02:48 AM

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Let F be a finite dimensional extension of a finite field K. The norm NK F and

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The statement is false Heres a counterexample Let K be the finite fiel...View the full answer

Algebra Graduate Texts In Mathematics 73

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