保积Hom-李color三系的广义导子  

Generalized Derivations of Multiplicative Hom-Lie Color Triple Systems

作　　者：曹燕 张婉莹 Yan CAO Wan;Ying ZHANG(School of Science,Harbin University of Science and Technology,Harbin 150080,P.R.China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《数学学报（中文版）》2023年第3期425-436,共12页Acta Mathematica Sinica：Chinese Series

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专项资助项目(LGYC2018JC002)。

摘　　要：本文首先给出保积Hom-李color三系的导子、广义导子和拟导子的定义,进一步得出保积Hom-李color三系的导子、广义导子和拟导子的一些性质,证明了QDer(T)+QC(T)=GDer(T).其次,证明了中心导子代数ZDer(T)和型心C(T)都是Der(T)的Hom-理想.最后证明了域F的特征不等于2时,ZDer(T)=C(T)∩Der(T).We first give definitions of derivations,generalized derivations and quasi derivations of multiplicative Hom-Lie color triple systems,and then provide some properties.In particular,we prove that QDer(T)+QC(T)=GDer(T),and both the central derivation algebras and the centroids are Hom-ideals of GDer(T).Also,we show that ZDer(T)=C(T)∩Der(T)when the characteristic of the field F is not equal to 2.

关 键 词：保积Hom-李color三系 李color三系 导子 广义导子 拟导子 

分 类 号：O152.5[理学—数学]