Prove that if F is a field, every proper nontrivial prime ideal of F[x] is maximal.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 04:03 AM

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Prove that if F is a field, every proper nontrivial prime ideal of F[x] is maximal.

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Every ideal of Fx is principal Suppose fx 0 is a proper prime ideal of Fx Then every poly...View the full answer

A First Course In Abstract Algebra

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