For any commutative ring R, R[x, y] is the ring of
Chapter 14, Problem 42SE(choose chapter or problem)
For any commutative ring R, R[x, y] is the ring of polynomials in x and y with coefficients in R (that is, R[x, y] consists of all finite sums of terms of the form axiyj, where a ? R and i and j are nonnegative integers). (For example, x4 – 3x2y – y3 ? Z[x, y].) Prove that is a prime ideal in Z[x, y] but not a maximal ideal in Z[x, y].
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer