Let \(k=\mathbb {Z}/3\mathbb {Z}\) be the field with three elements. Find all the prime ideals in the ring \(R=k[x,y]/(x^3-x,y^2+x)\).
Question
Math 6310 • Algebra
Spring 2023 • Question 1
Question
Spring 2023 • Question 1
Let \(k=\mathbb {Z}/3\mathbb {Z}\) be the field with three elements. Find all the prime ideals in the ring \(R=k[x,y]/(x^3-x,y^2+x)\).