1.6.6 Fields, Groups, Rings

Problem: Is the mapping \( f \) of the group \( \langle\mathbb{Z} / 4 \mathbb{Z},+,-\rangle \) to the group \( \langle\mathbb{Z},+,-\rangle \), homomorphic such that a) \( f(\overline{2})=2 \); b) \( f(\overline{3})=3 \).