| 摘要: |
| 本文研究了δ Jordan-李三系上带有权λ的k-阶广义导子的相关问题.通过计算，得到了每一个δ Jordan-李三系上带有权λ的k-阶Jordan三角θ-导子都是一个带有权λ的k-阶θ-导子.在定义下，给出了带有权λ的k-阶Jordan三角θ-导子的另一种等价形式.同时，建立了带有权λ的k-阶广义（θ，φ）-导子和Rota-Baxter δ Jordan-李三系上带有权λ的Rota-Baxter算子的遗传性质，得到了每一个Rota-Baxter δ Jordan-李代数能看成一个Rota-Baxter δ Jordan-李三系的结论. |
| 关键词: δ Jordan-李三系 k-阶(θ,φ)-导子 k-阶Jordan三角(θ,φ)-导子 权λ 权λ的Rota-Baxter δ Jordan-李三系 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:Supported by NSFC(11471090), and NSFJL(20130101068JC). |
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| K-ORDER GENERALIZED DERIVATIONS OF WEIGHT λ ON δ JORDAN-LIE TRIPLE SYSTEMS |
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LIU Ning1, ZHANG Qing-cheng2
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1.School of Mathematics, South China University of Technology, Guangzhou 510604, China;2.School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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| Abstract: |
| This paper deals with the k-order generalized derivations of weight λ on δ JordanLie triple systems. By computing, we conclude that every k-order Jordan triple θ-derivation of weight λ on δ Jordan-Lie triple systems is a k-order θ-derivation of weight λ. Under the definitions, we give another equivalent form of k-order Jordan triple θ-derivation of weight λ. Meanwhile, We also establish the inheritance property of k-order generalized (θ,φ)-derivation of weight λ and Rota-Baxter operator of weight λ on Rota-Baxter δ Jordan-Lie triple systems. We obtain that every Rota-Baxter δ Jordan-Lie algebra can be seen as a Rota-Baxter δ Jordan-Lie triple system. |
| Key words: δ Jordan-Lie triple systems k-order (θ, φ)-derivations k-order Jordan triple (θ, φ)-derivations weight λ Rota-Baxter δ Jordan-Lie triple systems of weight λ |
