2018/02/12 by Ferreira, Bruno, Guzzo, Henrique
#17A36 #17D05 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1802.04316
In this paper we generalize the result valid for associative rings due \cite[Martindale III]Mart and \cite[Bre\checksar]bresar to alternative rings. Let \mathfrakR be an unital alternative ring, and \mathfrakD: \mathfrakR → \mathfrakR is a Lie multiplicative derivation. Then \mathfrakD is the form δ+ τ where δ is an additive derivation of \mathfrakR and τ is a map from \mathfrakR into its center Z(\mathfrakR), which maps commutators into the zero.