Explore BrainMass

Explore BrainMass

    Set Operations : Commutativity, Unity, Zero Divisors

    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!

    Consider the set R={0,2,4,6,8} C Z10.
    a) Construct addition and multiplication tables for R, using the operations in Z10.

    b) Is R a commutative ring? Does it have unity and, if so, which element is unity?

    c) Does R have zero divisors?

    d) Which elements of R have multiplicative inverses?

    Please see the attached file for the fully formatted problems.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:18 pm ad1c9bdddf


    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using ...

    Solution Summary

    Commutativity, Unity, Zero Divisors and Multiplicative Inverses are investigated.