Explore BrainMass

Explore BrainMass

    Embeddings

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

    Let E be a finite extension of a field F. Show that any finite set of distinct embeddings of E into the algebraic closure of F is linearly independent over F.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/finite-set-embeddings-28123

    Solution Summary

    This is a proof regarding finite set of distinct embeddings and linear independence.

    $2.19

    ADVERTISEMENT