English

Leibniz algebras whose solvable ideal is the maximal extension of the nilradical

Rings and Algebras 2022-04-01 v1

Abstract

The paper is devoted to the so-called complete Leibniz algebras. It is known that a Lie algebra with a complete ideal is split. We will prove that this result is valid for Leibniz algebras whose complete ideal is a solvable algebra such that the codimension of nilradical is equal to the number of generators of the nilradical.

Keywords

Cite

@article{arxiv.2203.16967,
  title  = {Leibniz algebras whose solvable ideal is the maximal extension of the nilradical},
  author = {K. K. Abdurasulov and Z. Kh. Shermatova},
  journal= {arXiv preprint arXiv:2203.16967},
  year   = {2022}
}