게으른맽랩 lazy matlab

Suppose $f: G \to G'$ is a group homomorphism, and $e$ and $e'$ are the identity elements of $G$ and $G'$, respectively. 1. Identity preservation: $f(e) = e'$ pf) $\forall g\in G, f(g) = f(e\,g) = f(e)  f(g)$. Thus $f(e) = e'$.  2. Inverse preservation: $\forall g\in G, f(g^{-1}) = f(g)^{-1}$ pf) $\forall g\in G, e' = f(e) = f(g\,g^{-1}) = f(g)  f(g^{-1})$. Thus $f(g)^{-1} = f(g^{-1})$.  3. Kern..