- #1
annoymage
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Homework Statement
Let R be a field and f : R->R be a ring homomorphism
prove that f(r)=0, for all r in R, or f is injective
Homework Equations
n/a
The Attempt at a Solution
or alternative ways i have to prove (Kernel of f)=R or (kernel of f)={0}
i've tried but stuck somewhere, hmm and also seems i can't make any connection with "field" like unit or zero divisor or something like that T_T, help clue pls