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?
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?