I need help on this problem
Last edited by capitalX; June 24th 2008 at 10:17 PM.
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Originally Posted by capitalX I need help on this problem Let R be a commutative ring of prime characteristic p. Show that the Frobenius map x->x^p is a ring homomorphism from R to R.
Thanks i expect someone who's studying algebra knows this much from elementary number theory that for any prime
number and integer we have: so: hence, since R is commutative,
for any besides it's obvious that
therefore the map is a ring homomorphism. Q.E.D.
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