Copied List the prime ideals of the ring \(R=\mathbb {Z}[x,y]/\langle 3+x, y(y-1)+x^2, x\rangle \). Give an example of an integral domain with exactly 2 prime ideals. Raw LaTeX \begin{enumerate} \item[(i)] List the prime ideals of the ring \(R=\mathbb{Z}[x,y]/\langle 3+x, y(y-1)+x^2, x\rangle\). \item[(ii)] Give an example of an integral domain with exactly 2 prime ideals. \end{enumerate} Topic Tags Ideals and Quotient Rings Integral Closure Polynomial Rings and Prime Ideals Prime and Maximal Ideals