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Math Help - Question on basic Ring theory

  1. #1
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    Question on basic Ring theory

    Hi, I'm not sure how to go about finding the solution to this question.

    Let R be a ring with identity such that x2 = 1Rfor all 0R =/= x in R. How many elements are in R?

    I've just been playing around with squaring elements, like (x+1R)2 = x2+2.x+1R =2.x+2.1R = 1R.

    But I'm not sure where to go with this. Any help?
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  2. #2
    Super Member girdav's Avatar
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    Re: Question on basic Ring theory

    Maybe you should say that you find a solution on math.stackexchange.
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