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Math Help - Ring problem

  1. #1
    Newbie
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    Jan 2009
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    Ring problem

    Hi there, I need help with this problem. I really dont know what to make of it.

    If R is a ring where x^6=x, (V) x in R.
    a) Is it true that x^5=x ?
    b) 1 + 1 = ?

    Thank you.
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  2. #2
    MHF Contributor

    Joined
    May 2008
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    Quote Originally Posted by sillyme View Post

    If R is a ring where x^6=x, \ \forall x \in R.

    a) Is it true that x^5=x? did you mean x^5 = 1?

    b) 1 + 1 = ?
    1=(-1)^6=-1. thus in R: 1+1=0.
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