(A) f: Z -> Z with a function defined as f(x)=-x(adsbygoogle = window.adsbygoogle || []).push({});

1.) f(0)=0

2.) f(a)-f(b)=-a+b=-a+b=f(a-b)

3.) -f(a)=a=a=f(-a)

Conclusion: a homomorphism

(B) f: Z_{2}-> Z_{2}with a function defined as f(x)=-x

This one I'm not sure, I doubt it is a homomorphism though.

f: g -> g

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# Homomorphism proof help

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