Ivan Shishkin, Birch Grove

KK-morphism

Definition / General algebra / Stub

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Let KK be a field, and let LL and LL' be two field extensions of KK. A KK-morphism φ:LL\varphi:L \rightarrow L' is a field homomorphism such that, for all aKa\in K, φ(a)=a\varphi(a)=a.

Practice this concept with exercises

  • Determine all R\R-automorphisms φ:CC\varphi:\mathbb{C} \rightarrow \mathbb{C}.

    Open exerciseDifficulty 28/100 · 1 solution · 0 hints
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