Explore BrainMass

Explore BrainMass

    Describe the Rings

    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 problem.

    Describe the rings:

    Z[x]/(x2 − 3, 2x + 4), Z[i]/(2 + i) where i2 = −1.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:50 pm ad1c9bdddf


    Solution Preview

    Z[x]/(x^2-3, 2x+4) is isomorphic to GF(4), the field with 4 elements. Let I be the ideal generated by x^2-3 and ...

    Solution Summary

    Solution shows how the rings are described as isomorphic.