论文标题
使用理想和亚代词的谎言代数的表征
A characterisation of Lie algebras using ideals and subalgebras
论文作者
论文摘要
我们证明，如果对于非平凡的非缔合代数，每个自由代数的每个子代数都是免费的，而$ i^2 $是理想的选择，那么这种品种与各种谎言代数相吻合。
We prove that if, for a nontrivial variety of non-associative algebras, every subalgebra of every free algebra is free and $I^2$ is an ideal whenever $I$ is an ideal, then this variety coincides with the variety of all Lie algebras.
