δ-李超三系上带权λ的广义k阶导子  

k-order generalized derivations of weight λ on δ-Lie supertriple systems

作　　者：刘贵来 郝仲杰 张庆成[1] LIU Guilai;HAO Zhongjie;ZHANG Qingcheng(School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China)

机构地区：[1]东北师范大学数学与统计学院

出　　处：《黑龙江大学自然科学学报》2019年第4期391-400,共10页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11471090; 11671069)

摘　　要：给出δ-李超三系上带权λ的(广义)(θ,φ)-k阶导子和带权λ的(广义) Jordan (θ,φ)-k阶导子的定义,得到带权λ的 Jordan (θ,φ)-k阶导子是带权λ的(θ,φ)-k阶导子的充要条件和带权λ的广义 Jordan (θ,φ)-k阶导子是带权λ的广义(θ,φ)-k阶导子的充要条件,并证明δ-李超三系上带权λ的 Jordan θ-k阶导子就是带权λ的θ-k阶导子。The concepts of k -order (generalized)(θ,φ)-derivations of weight λ and k -order (generalized) Jordan (θ,φ)-derivations of weight λ on a δ-Lie supertriple system are introduced. We conclude that k -order (generalized) Jordan (θ,φ)-derivations of weight λ are k -order (generalized)(θ,φ)-derivations of weight λ on a δ-Lie supertriple system under some conditions. In particular, k -order Jordan θ-derivations of weight λ are k -order θ-derivations of weight λ.

关 键 词：导子 JORDAN 导子 δ-李超三系 

分 类 号：O152.5[理学—数学]