Abstract
In this work, we prove that, if $\mathfrak{R} $ is an arbitrary alternative division ring, then, under a mild condition, every semi-automorphism $\varphi : \mathfrak{R} \rightarrow \mathfrak{R} $ is either an automorphism or an anti-automorphism. We extend Hua's result L.K. Hua for an alternative division ring.
Citation
Bruno Leonardo Macedo Ferreira. Ruth Nascimento Ferreira. "Automorphisms on the alternative division ring." Rocky Mountain J. Math. 49 (1) 73 - 78, 2019. https://doi.org/10.1216/RMJ-2019-49-1-73