- #1
Daveyboy
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- 0
Homework Statement
For the rings Zn and Zk show that if k|n, then the function f: Zn to Zk
s.t [x]n --->[x]k for all x in Zn
is a ring morphism. Show this is the only ring morphism from Zn to Zk.
The attempt at a solution
So I showed it is a ring morphism by just verifying the properties, no big deal. I have no idea how to show that it is the only one though.
I want to start out by contradiction and assume that their is another one... but I don't know what to do with that. Is there a way to show it directly?