1) Find all ideals $\displaystyle N$ of $\displaystyle \mathbb{Z}_{12}$. In each case compute $\displaystyle \mathbb{Z}_{12}/N$; that is, find a known ring to which the quotient ring is isomorphic.

2) Give addition and multiplication tables for $\displaystyle 2\mathbb{Z}/8\mathbb{Z}$. Are $\displaystyle 2\mathbb{Z}/8\mathbb{Z}$ and $\displaystyle \mathbb{Z}_4$ isomorphic rings?