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Math Help - Rings (just starting)

  1. #1
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    Rings (just starting)

    I'm working with elementary rings, and my professor gave me about ten of these to start but it seems like a lot of work with how he managed it. I know you guys don't answer homework so I chose one my professor solved to help me compare so I can do the others. Any help would be greatly appreciated, the groups were easy but the rings are a little more difficult for me to grasp.

    Consider the set R = {a + b (SQRT 2): a, b are in Z}
    Prove that R is a subring of R.
    Is R commutative?
    Does R have identity?
    Is R an integral domain?
    Is R a division ring?
    Is R a skew fi eld?
    Is R a field?
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by DanielThrice View Post
    I know you guys don't answer homework so I chose one my professor solved to help me compare so I can do the others.

    If your professor has already solved the problem, perhaps it would be better for you to comment what particular doubts have you had.


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