page1755      Rings      Matthias Lorentzen...mattegrisenforlag.com


Look at the picture beneath, then scroll down to the question and click the correct Answer button.

Question

Let I = `langle 3 rangle` = {0 , 3} , then `ZZ_6`/I = {0 + I , 1 + I , 2 + I} = {{0 , 3} , {1 , 4} , {2 , 5}}. `ZZ_6`/I is an integral domain iff I is a prime ideal ?