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SOLVED:2 (a) Show that every ideal in ring Z is principal. More specifi- cally; prove the following: if A is an ideal in Z; then A = (n) = nZ; where n
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![SOLVED:This problem concerns the ring ZJ] of polynomials with integer coefficients. Is the principal ideal (x) = {1 p(c) p(c) € ZJz]} maximal ideal? prime ideal? both? neither? Justify your answer_ Show SOLVED:This problem concerns the ring ZJ] of polynomials with integer coefficients. Is the principal ideal (x) = {1 p(c) p(c) € ZJz]} maximal ideal? prime ideal? both? neither? Justify your answer_ Show](https://cdn.numerade.com/ask_images/cf221b71d8ab43b593427f45d3854f0b.jpg)