半结合3-代数的双模结构  

Structure of Double Modules of Semi-associative 3-Algebras

作　　者：白瑞蒲[1] 刘山[1] 张艳[1] BAI Ruipu;LIU Shan;ZHANG Yan(College of Mathematics and Information Science,Hebei University,Baoding 071002,Hebei Province,China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071002

出　　处：《吉林大学学报（理学版）》2021年第1期34-38,共5页Journal of Jilin University:Science Edition

基　　金：河北省自然科学基金(批准号:20182011126).

摘　　要：定义半结合3-代数的双模,并研究其双模结构和正则双模结构.对任意一个半结合3-代数(A,{,,}),证明A的三元运算{,,}的循环和[,,]c是线性空间A上的3-李运算,并研究半结合3-代数的导子与其伴随3-李代数的导子之间的关系.The double module of semi-associative 3-algebras was defined,and the structure of double modules and regular double modules of semi-associative 3-algebras were studied.We prove that for any semi-associative 3-algebra(A,{,,}),the cycle sum[,,]c of the m ultiplication{,,}is a 3-Lie multiplication on A,and study the relation between derivations of(A,{,,})and(A,[,,]c).

关 键 词：半结合3-代数 伴随3-李代数 双模 

分 类 号：O152.5[理学—基础数学]