摘要
D.A.Towers在“Elementary lie Algebras”一文中论证了基本李代数的结构定理。本文在此基础上,给出了基本李代数的一个充分必要条件。
In'Elementary Lie Algebras', D. A. Towers has proved the structuretheorem of elementary Lie algebras. In this paper, we give a sufficient andnecessary condition of elementary Lie algebras based on his proof.
关键词
基本李代数
F-子代数
李代数
elementary Lie algebras
frattini subalgebra
φ-free Lie algebra
complemented Lie algebra