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Take h: N -> Z defined as

h(x) := <x, 0>.

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

h(x+Ny) = h(x) +Z h(y);
h(x*Ny) = h(x) *Z h(y)

i.e., h is a homomorphism from N to Z (for the operations + and *).

Author: Wolfgang Schreiner
Last Modification: December 7, 1999

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