English

On minimal ideals of Lie algebras

Rings and Algebras 2020-07-10 v2

Abstract

We show that a minimal ideal of a finite-dimensional Lie algebra is either simple or abelian.

Keywords

Cite

@article{arxiv.2007.03426,
  title  = {On minimal ideals of Lie algebras},
  author = {Donald W. Barnes},
  journal= {arXiv preprint arXiv:2007.03426},
  year   = {2020}
}

Comments

1 page. The result is false. That all $A$-module composition factors of $K$ are trivial does not imply that $K$ is soluble