摘要
构造Leibniz超代数的Leibniz作用和交叉模,并给出Leibniz超对和Leibniz超代数的非交换张量积的定义.由Leibniz超代数的非交换张量积的结构,得到了关于Leibniz超代数短正合列及Leibniz超代数同态的相关结果.
We constructed Leibniz action and crossed-module of Leibniz superalgebras,and gave the definition of Leibniz superpairs and non-Abelian tensor product of Leibniz superalgebras.Based on the structure of non-Abelian tensor product of Leibniz superalgebras,we obtained the related results of short exact sequence and homomorphism of Leibniz superalgebras.
作者
刘贵来
王涵
张庆成
LIU Guilai;WANG Han;ZHANG Qingcheng(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2018年第4期812-818,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11171055)
吉林省自然科学基金(批准号:201301068JC)
