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  3. define f : z × z ? z by f(x, y) = x + 2y....

Define f : Z × Z ? Z by f(x, y) = x + 2y....

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Advance Math

Define f : Z × Z ? Z by f(x, y) = x + 2y. (abstract algebra)

(a) Prove that f is a homomorphism.

(b) Find the kernel of f.

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