- #1
Turnyface
- 6
- 0
Consider θ:Z -> Z is a mapping where θ(n) = n^3 and it's homomorphism under multiplication. In this case, it's not a homomorphism under addition.
So my question is this. In general, if we show that a group is homomorphic under multiplication, does this imply that it is not under addition and vice versa?
So my question is this. In general, if we show that a group is homomorphic under multiplication, does this imply that it is not under addition and vice versa?