Characterization of Lie higher derivations on triangular algebras |
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Authors: | Xiao Fei Qi |
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Institution: | 11548. Department of Mathematics, Shanxi University, Taiyuan, 030006, P. R. China
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Abstract: | Let $\mathcal{A}$ and $\mathcal{B}$ be unital rings, and $\mathcal{M}$ be an $\left( {\mathcal{A},\mathcal{B}} \right)$ -bimodule, which is faithful as a left $\mathcal{A}$ -module and also as a right $\mathcal{B}$ -module. Let $\mathcal{U} = Tri\left( {\mathcal{A},\mathcal{M},\mathcal{B}} \right)$ be the triangular algebra. In this paper, we give some different characterizations of Lie higher derivations on $\mathcal{U}$ . |
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Keywords: | Triangular algebras Lie higher derivations higher derivations |
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