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math.RA2020
Lie maps on alternative rings preserving idempotents
Bruno Leonardo Macedo Ferreira, Henrique Guzzo, Ivan Kaygorodov
Let and unital ,-torsion free alternative rings and be a surjective Lie multiplicative map that preserves idempotents. Assume that $\Re…
math.RA2020
Multiplicative Lie-type derivations on alternative rings
Bruno Leonardo Macedo Ferreira, Henrique Guzzo, Feng Wei
Let be an alternative ring containing a nontrivial idempotent and $\D$ be a multiplicative Lie-type derivation from into itself. Under certain assumptions on , we pro…