a.) Write down the formulas for all homomorphisms from Z10 into Z25. b.)Write down the formulas for...

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a.) Write down the formulas for all homomorphisms from Z10 intoZ25.

b.)Write down the formulas for all homomorphisms from Z24 intoZ18.

c.)Write down the formulas for all homomorphisms from Z intoZ10.

d.)Extra: Define ? : C x ? Rx by ?(a + bi) = a 2 + b 2 for all a+ bi ? C x where R is the real numbers and C is the complexnumbers. Show that ? is a homomorphism.

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