Abstract
Let $f$ be a centralizing automorphism of a semiprime ring $R$. Then for all $x \in R (f(x) - x) \in Z(R)$; that is the mapping $f -1$ maps $R$ into its centre.
Citation
Asif Ali. Muhammad Yasen. "A note on automorphisms of prime and semiprime rings." J. Math. Kyoto Univ. 45 (2) 243 - 246, 2005. https://doi.org/10.1215/kjm/1250281987
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