摘要
在3-李代数中定义了Perfect理想、Near Perfect理想和Upper Bounded理想.研究了3种理想的结构、3-李代数的导序列长度、下降中心列长度以及上升中心列长度与3种理想之间的关系.具体给出了特征为零的代数闭域上4维和5维3李代数的最大Perfect理想P(L)、最大Near Perfect理想NP(L)及最小的Upper Bounded理想UB(L).
Perfect ideals,Near Perfect ideals and Upper Bounded ideals of 3-Lie algebras are introduced.The structure and relations between three kind of ideals and the length of derived series,the length of lower central series and the length of upper central series of 3-Lie algebras are discussed.The concrete three ideals of 4 and 5-dimensional 3-Lie algebras over an algebraically closed field of characteristic zero are provided.
作者
白瑞蒲
周檬
赵勇涛
BAI Rui-pu;ZHOU Meng;ZHAO Yong-tao(College of Mathematics and Information Science,Hebei University,Baoding 071002,China;Key Laboratory of Machine Learning and Computational Intelligence of Hebei Province,Baoding 071000,China;Department of Software and Technology,Hebei Software Institute,Baoding 071000,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2021年第2期1-3,共3页
Journal of Northeast Normal University(Natural Science Edition)
基金
河北省自然科学基金资助项目(20182011126).
