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Q1) Define the Subtraction map. Q2) Is ZxZ Za group homomorphism? Q3) What is the kernel of -? With what set can you identify

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Q1) Define the Subtraction map. Q2) Is ZxZ Za group homomorphism? Q3) What is the kernel of -? With what set can you identify - ? Q4) Is there a natural map? What is the set of cosets and with what set can you identify it? Is it a group? If yes, what is the name of this group? Q5) Define a map : ZXZ ker- Z.

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