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Determine whether each of the following mapping is a homomorphism (justify youranswer). If yes, find...

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Determine whether each of the following mapping is a homomorphism (justify youranswer). If yes, find its kernel.i. Define : Z ? R by p(x) = x. (where Z and R are both groups under addition).ii. Let(G,*) be a group under a binary operation and let y: GG be defined byy(m) = m for all meg.

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