Explore BrainMass

Explore BrainMass

    Rings : Fields

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Please see the attached file for the fully formatted problems.

    Prove that Z5/(x2 + x + 1) is a field. How many elements are there in this field? Can you also represent it as Z5[x]/(x2-a) where a is some element of Z5?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:50 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/rings-fields-10958

    Attachments

    Solution Summary

    The elements of rings and fields are investigated. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT