Lie n-multiplicative mapping on Triangular n-Matrix Rings
In this paper we extend to triangular n-matrix rings and Lie n-multiplicative map a result about Lie multiplicative maps on triangular algebras due to Xiaofei Qi and Jinchuan Hou.
math.RA↗
arXiv subjects
Henrique Guzzo Jr
Publications and source records attributed to Henrique Guzzo Jr.
Characterization of Lie multiplicative derivation on alternative rings
In this paper we generalize the result valid for associative rings due \cite[Martindale III]{Mart} and \cite[Bre$\check{s}$ar]{bresar} to alternative rings. Let $\mathfrak{R}$ be an unital alternative ring, and $\mathfrak{D}: \mathfrak{R} \rightarrow \mathfrak{R}$ is a Lie multiplicative derivation. Then $\mathfrak{D}$ is the form $δ+ τ$ where $δ$ is an additive derivation of $\mathfrak{R}$ and $τ$ is a map from $\mathfrak{R}$ into its center $\mathcal{Z}(\mathfrak{R})$, which maps commutators into the zero.
math.OA↗
Lie Maps on Alternative Rings
In this paper we study to alternative rings the almost additivity of the Lie multiplicative and Lie triple derivable maps.
math.RA↗