摘要
给出n-李代数次理想的概念,证明幂零n-李代数的子代数都是次理想;n-李代数的次理想与其导代数相等时必为理想;n-李代数L的每个子代数都是次理想时,L必可解等重要结果。从而给出了n-李代数的可解性与幂零性的关系。
In this paper the definition of subnormal ideal of a N-lie algebra is given. Then it is proven that every subalgebra of a N-Lie algebra is a subnormal ideal, a subnormal ideal of a N-Lie algebra which equals its derivation must be an ideal and a N-lie algebra is solvable if every subalgebra of it is a subnormal ideal. By the conclusion the relation between the solubility and nilpotency about a N-Lie algebra is shown.
出处
《唐山师范学院学报》
2003年第5期1-4,共4页
Journal of Tangshan Normal University
关键词
N-李代数
可解性
幂零性
子代数
N-Lie algebras
subalgebras
solvable N-Lie algebras
nilpotent N-Lie algebras
