1.6.100 Fields, Groups, Rings

Condition: Given the ring \ (\ mathbb {z} [i \ sqrt {3}] = \ {a+b i \ sqrt {3} \ mid A, b \ in {z} \} \). 1. Find all the reverse elements in this ring. 2. Find all the dividers of the number 4. 4. Prove that 4 and \ (2+2 i \ sqrt {3} \) do not have the most common divider.