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Math Help - ring theory

  1. #1
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    Post ring theory

    show that a unit of a ring divides every other element of the ring
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  2. #2
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    Re: ring theory

    a is unit in a ring R, so there is an element a^{-1} such that aa^{-1}=1. By associativity, b=a(a^{-1}b) for any element b\in R.
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  3. #3
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    Re: ring theory

    Quote Originally Posted by ojas View Post
    show that a unit of a ring divides every other element of the ring
    1Ib if b=qx1 for some q.
    q=b
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