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Take h: Z -> Q defined as

h(x) := x/1Z.

Then we have, for all x in Z and y in Z,

h(x+Zy) = h(x) +Q h(y);
h(x-Zy) = h(x) -Q h(y);
h(x*Zy) = h(x) *Q h(y)

i.e., h is a homomorphism from Z to Q (for operations +, -, *).

Author: Wolfgang Schreiner
Last Modification: December 7, 1999

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