An algebraic extension F of K is normal over K if and only if for every irreducible K x factors in F x as a product of irreducible factors all of which have the same degree ...

This statement is not true A counterexample can be ...

An algebraic extension F of K is normal over K if and only if for every irreducible

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An algebraic extension F of K is normal over K if and only if for every irreducible ∫ ϵ K[x]. ∫ factors in F[x] as a product of irreducible factors all of which have the same degree.

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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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An algebraic extension F of K is normal over K if and only if for every irreducible

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Algebra Graduate Texts In Mathematics 73

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