(Solved): 2. Identify the units and the zero divisors of \( \mathbb{Z} / 18 \). For the units, identify the ...

2. Identify the units and the zero divisors of \( \mathbb{Z} / 18 \). For the units, identify the multiplicative inverse pairs. For each zero divisor \( \bar{a} \), identify a nonzero modular number \( \bar{b} \) to multiply \( \bar{a} \) by to get \( \overline{0} \), i.e., find \( \bar{b} \) such that \( \bar{a} \cdot \bar{b}=\overline{0} \).