Explore BrainMass
Share

Explore BrainMass

    Finite dimensional extension field

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Prove that a finite-dimensional extension field K of F is normal if and only if it has this property: Whenever L is an extension field of K and sigma : K ----> L an injective homomorphism such that sigma (c) = c for every c in F, then sigma (K) is contained in K.

    © BrainMass Inc. brainmass.com October 10, 2019, 2:49 am ad1c9bdddf
    https://brainmass.com/math/linear-transformation/finite-dimensional-extension-field-395710

    Solution Preview

    I'm attaching the proof in .docx and .pdf formats. Note that any ...

    Solution Summary

    This solution offers evidence to prove that a finite-dimensional extension field of is normal under certain properties.

    $2.19