X. F. Qi
Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China.
[ 1 ] - $k$-power centralizing and $k$-power skew-centralizing maps on triangular rings
Let $mathcal A$ and $mathcal B$ be unital rings, and $mathcal M$ be an $(mathcal A, mathcal B)$-bimodule, which is faithful as a left $mathcal A$-module and also as a right $mathcal B$-module. Let ${mathcal U}=mbox{rm Tri}(mathcal A, mathcal M, mathcal B)$ be the triangular ring and ${mathcal Z}({mathcal U})$ its center. Assume that $f:{mathcal U}rightarrow{mathcal U}$ is...
[ 2 ] - Nonlinear $*$-Lie higher derivations on factor von Neumann algebras
Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.