Consider the ideal \(I=(2,1+\sqrt {-5})\) in the ring \(R=\mathbb {Z}[\sqrt {-5}]\). Is \(I\) a prime ideal? Is \(I\) a projective \(R\)-module?
Question
Math 6310 • Algebra
Fall 2018 • Question 5
Question
Fall 2018 • Question 5
Consider the ideal \(I=(2,1+\sqrt {-5})\) in the ring \(R=\mathbb {Z}[\sqrt {-5}]\). Is \(I\) a prime ideal? Is \(I\) a projective \(R\)-module?