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Math Help - Ring Automorphisms and Commutativity

  1. #1
    Member Haven's Avatar
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    Ring Automorphisms and Commutativity

    Is it necessarily true that if R is a ring and Aut(R) = id. (i.e., the only automorphism of R, is \phi(r)=r for all r\in R), then R is commutative?
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  2. #2
    Member ModusPonens's Avatar
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    Re: Ring Automorphisms and Commutativity

    EDIT: Mistake of mine
    Last edited by ModusPonens; December 2nd 2011 at 06:17 PM.
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