数学杂志2021，Vol.41Issue(1)：37-56,20.
δJordan-李三系上带有权λ的k-阶广义导子
K-ORDER GENERALIZED DERIVATIONS OF WEIGHT λ ON δ JORDAN-LIE TRIPLE SYSTEMS
摘要
Abstract
This paper deals with the k-order generalized derivations of weight λ on δ Jordan-Lie 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.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 δJordan-李三系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分类
数理科学引用本文复制引用
刘宁,张庆成..δJordan-李三系上带有权λ的k-阶广义导子[J].数学杂志,2021,41(1):37-56,20.基金项目
Supported by NSFC(11471090),and NSFJL(20130101068JC). （11471090）
