Lie maps on alternative rings preserving idempotents
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DOI: 10.4064/cm8195-10-2020
Abstract: Let $\Re$ and $\Re'$ unital $2$,$3$-torsion free alternative rings and $\varphi: \Re \rightarrow \Re'$ be a surjective Lie multiplicative map that preserves idempotents. Assume that $\Re$ has a nontrivial idempotents. Under certain assumptions on $\Re$,… read more here.
Keywords: alternative rings; rings preserving; maps alternative; preserving idempotents ... See more keywords