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
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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
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?
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