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    Group and ring homomorphisms

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    Please attached for the question to help me understand Group and Ring Homomorphisms.

    Is this function a Homomorphism?
    a) Does 1:22 :22 where 1(a1,a2) = (a1,0) define a group homomorphism? a ring homomorphism? Prove your answers.

    b) Does 1:22 :22 where 1(a1,a2) = (a2,,a1) define a group homomorphism? a ring homomorphism? Prove your answers.

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    https://brainmass.com/math/ring-theory/group-ring-homomorphisms-240814

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    This solution provides examples of defining group and ring homomorphisms.

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