Proof that If the roots of a monic polynomial K[x] (in some splitting field of

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Proof that If the roots of a monic polynomial ∫ ϵ K[x] (in some splitting field of ∫ over K) are distinct and form a field, then char K = p and ∫ = x^Pⁿ - x for some n ≥ l.

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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 03:56 AM

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Proof that If the roots of a monic polynomial K[x] (in some splitting field of

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Suppose that is a monic polynomial in Kx where K is a field of characteristic p and that its roots a...View the full answer

Algebra Graduate Texts In Mathematics 73

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