In the ring Z the following conditions on a nonzero ideal/ are equivalent: (i) I is prime;
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In the ring Z the following conditions on a nonzero ideal/ are equivalent:
(i) I is prime;
(ii) I is maximal;
(iii) I = (p) with p prime.
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First we will show that i implies iii Suppose that I is a prime ideal in Z If I 0 then it is not a p...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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