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I want to find a explicit morphism from $K_1$ to $K_2$, where

$$K_1=\mathbb F_2[x]/(x^3+x+1)\mbox{ and }K_2=\mathbb F_2[x]/(x^3+x^2+1).$$

I've found that it must exist because these polynomials are irreducible, hence these fields have $2^3$ and $2^3$ elements and $3\mid 3$.

But how could I find the explicit morphism?

  • 2
    You obviously mean $\mathbb{F}_2[x]$ then.2012-10-30
  • 0
    yes, I'm sorry.2012-10-30

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