If F is a field, then (x) is a maximal ideal in F[x], but it is not
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If F is a field, then (x) is a maximal ideal in F[x], but it is not the only maximal ideal (compare Corollary 5.10).
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Recall that an ideal I of a ring R is maximal if I is proper ie I R and the only ideals containing I ...View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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