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Prove that is not a prime ideal of Z[i]. How many elements
Chapter 14, Problem 38E(choose chapter or problem)
QUESTION:
Prove that \(I= \langle 2+2i \rangle\) is not a prime ideal of Z[i]. How many elements are in Z[i]/I? What is the characteristic of Z[i]/I?
Questions & Answers
QUESTION:
Prove that \(I= \langle 2+2i \rangle\) is not a prime ideal of Z[i]. How many elements are in Z[i]/I? What is the characteristic of Z[i]/I?
ANSWER:Step 1 of 5
The objective is to show that is not a prime ideal of .
Find the number of elements in and the characteristic of