(a) If D is an integral domain and c is an irreducible element in D, then D[x]...
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(a) If D is an integral domain and c is an irreducible element in D, then D[x] is not a principal ideal domain.
(b) Z[x] is not a principal ideal domain.
(c) If F is a field and n ≥ 2, then F[x1, ... , xn] is not a principal ideal domain.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Question Posted:
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