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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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In the ring Z the following conditions on a nonzero ideal/ are equivalent: (i) I is 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

Algebra Graduate Texts In Mathematics 73

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