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Let ϕ : Z × Z → Z be a homomorphism such that ϕ ( 1...

Let ϕ : Z × Z → Z be a homomorphism such that ϕ ( 1 , 1 ) = 2 and ϕ ( 3 , 5 ) = 6 . Find Ker ϕ and ϕ (10,5)

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