Is it necessarily true that if $\displaystyle R$ is a ring and $\displaystyle Aut(R) = id$. (i.e., the only automorphism of R, is$\displaystyle \phi(r)=r$ for all $\displaystyle r\in R$), then $\displaystyle R$ is commutative?

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- Dec 2nd 2011, 10:18 AMHavenRing Automorphisms and Commutativity
Is it necessarily true that if $\displaystyle R$ is a ring and $\displaystyle Aut(R) = id$. (i.e., the only automorphism of R, is$\displaystyle \phi(r)=r$ for all $\displaystyle r\in R$), then $\displaystyle R$ is commutative?

- Dec 2nd 2011, 04:40 PMModusPonensRe: Ring Automorphisms and Commutativity
EDIT: Mistake of mine