- #1

mariang

- 1

- 0

## Homework Statement

Let f1,f2, ..., fn : K -> L be field morphisms. We know that fi != fj when i != j, for any i and j = {1,...,n}. Prove that f1,f2, ..., fn are linear independent / K.

## Homework Equations

f1, ..., fn are field morphisms => Ker (fi) = 0 (injective)

## The Attempt at a Solution

I tried to use the linearity and the injectivity but i got stuck.