摘要
主要研究3-Lie代数的子代数及次理想的结构.证明了由次理想生成的子代数不一定是次理想.给出了由次理想生成的子代数是次理想的充要条件.最后研究了次理想和子代数的G_n-对之间的关系.
The authors mainly concern subalgebras and subideals of 3-Lie algebras.It is proved that the subalgebra generated by subideals may not be a subideal.And necessary and sufficient conditions for the subalgebras generated by subideals being subideals are provided. Finally,the relations between subideals and G_npairs of subalgebras are studied.
出处
《数学年刊（A辑）》
CSCD
北大核心
2011年第6期647-652,共6页
Chinese Annals of Mathematics
基金
河北省自然科学基金(No2010000194)资助的项目
