- #1
phyguy321
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Homework Statement
Prove that [tex]\phi[/tex] : Zp [tex]\rightarrow[/tex] Zp,
[tex]\phi[/tex] (a) = a p is a ring homomorphism, find the ker [tex]\phi[/tex]
Homework Equations
The Attempt at a Solution
So show that a [tex]_{p}[/tex] + b [tex]_{p}[/tex] = (a + b)p?
and (ab)p = (ap)(bp)?
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