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Let S = {a + bi

Chapter 14, Problem 5E

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QUESTION:

Let \(S=\{a+b i \mid a, b \in Z, b \text { is even }\}\). Show that S is a subring of Z[i], but not an ideal of Z[i].

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QUESTION:

Let \(S=\{a+b i \mid a, b \in Z, b \text { is even }\}\). Show that S is a subring of Z[i], but not an ideal of Z[i].

ANSWER:

Step 1 of 3

First we use Subring Test to prove that  is subring of .

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