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morphism
#2
Feb19-12, 09:31 PM
Sci Advisor
HW Helper
P: 2,020
Let a be a nonzero element of R. Here are two independent (but ultimately equivalent) hints to help you show that the inverse of a belongs to R.

Hint A: K(a)=K[a].

Hint B: Write down the inverse of a in F, using the fact that a is algebraic/K.