This paper aims to study the concept of ϕ-ideals of a finite-dimensional Lie algebra which is analogous to the concept of c-ideal and c-normal subgroup. We compile some basic properties of ϕ-ideals and consider the influence of this concept on the structure of a finite-dimensional Lie algebra, especially its solvability and supersolvability. We also show that the counterpart of some results for c-ideals of Lie algebras and c-normal subgroups are not valid here.

中文翻译：

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关于 φ-理想和李代数的结构

本文旨在研究φ- 有限维李代数的理想，类似于C-理想和C-正态亚组。我们编译了一些基本属性φ-理想并考虑这个概念对有限维李代数结构的影响，特别是它的可解性和超可解性。我们还展示了一些结果的对应物C-李代数的理想和C- 正态子组在这里无效。