论文标题
莱布尼兹代数的准思想
Quasi-ideals of Leibniz algebras
论文作者
论文摘要
如果[H; K] + [K] + [K; H] \ subseteq H + K的子空间h称为准理论。这里的目的是将这些结果扩展到较大的莱布尼兹代数，并将每个子代数为准理论的莱布尼兹代数分类。
A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] \subseteq H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to classify those Leibniz algebras in which every subalgebra is a quasi-ideal.
