保积BiHom-李color三系的广义导子  

GENERALIZED DERIVATIONS OF MULTIPLICATIVE BIHOM-LIE COLOR TRIPLE SYSTEMS

作　　者：孙亚良 曹燕 SUN Ya-liang;CAO Yan(School of science,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院数学系,黑龙江哈尔滨150080

出　　处：《数学杂志》2023年第6期501-514,共14页Journal of Mathematics

基　　金：国家自然科学基金资助项目(11801121);黑龙江省自然科学基金资助项目(QC2018006);黑龙江省普通高校基本科研业务费资助项目(LGYC2018JC002)。

摘　　要：本文研究了保积BiHom-李color三系T的广义导子代数GDer(T)的定义及其一些重要性质.利用BiHom-李三系的广义导子的研究方法,构造出保积BiHom-李color三系T的拟导子代数QDer(T)、型心C(T)、拟型心QC(T)和中心导子代数ZDer(T).证明了中心导子代数ZDer(T)是Der(T)的BiHom-理想,并且证明了[C(T),QC(T)]■End(T,Z(T)),特别地,若Z(T)={0},则[C(T),QC(T)]={0}.In this paper,we study the definition and important properties of the generalized derivation algebra GDer(T)of Multiplicative BiHom-Lie color triple systems T.Based on the generalized derivations of BiHom-Lie triple systems,we construct the quasi derivation algebra QDer(T),the centroid C(T)and the quasi centroid QC(T)and the central derivation algebra ZDer(T)of multiplicative BiHom-Lie color triple systems T.We prove the central derivation algebra ZDer(T)is BiHom-ideals of Der(T).Moreover,we also prove that[C(T),QC(T)]■End(T,Z(T).In particular,if Z(T)=(0],then we have[C(T),QC(T)]=[0).

关 键 词：BiHom-李color三系 广义导子 拟导子 型心 

分 类 号：O152.5[理学—数学]