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.

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