论文标题
谎言代数的C理想弱
Weak c-ideals of Lie algebras
论文作者
论文摘要
如果有L = b+c和b \ cap c \ cap c \ cap c \ subseteq b_l，则lie代数l的子代数b被称为L的弱c思想，其中B_L是B中包含的L最大的L的理想。我们获得了弱C理想的某些特性，并使用它们来提供可解决和可验证的谎言代数的一些特征。我们还注意到，一维弱的C理想是C理想。
A subalgebra B of a Lie algebra L is called a weak c-ideal of L if there is a subideal C of L such that L = B+C and B\cap C \subseteq B_L where B_L is the largest ideal of L contained in B. This is analogous to the concept of weakly c- normal subgroups, which has been studied by a number of authors. We obtain some properties of weak c-ideals and use them to give some characterisations of solvable and supersolvable Lie algebras. We also note that one-dimensional weak c-ideals are c-ideals.
