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

Source: [Leibniz algebras whose solvable ideal is the maximal extension of the nilradical](<https://www.sota2.com/research/paper/68fa59191e209131ce9b3fe0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:42:26.458Z

Authors: K.K. Abdurasulov, Z.Kh. Shermatova

Published: 2022-03-31T11:37:06.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2203.16967>)

[PDF](<https://arxiv.org/pdf/2203.16967.pdf>)