Let A be the principal ideal A = (5) of Z. Prove that A[r] is an ideal of Z[r]. Is A[r] a principal ideal? Show that Z[x
Posted: Thu May 05, 2022 6:55 pm
Let A be the principal ideal A = (5) of Z. Prove that A[r] is an ideal of Z[r]. Is A[r] a principal ideal? Show that Z[x]/A[x] ~ Z[r]. Is A[r] a maximal ideal?