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

K. K. Abdurasulov; Z. Kh. Shermatova

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arXiv · 2203.16967

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

K. K. Abdurasulov·Z. Kh. Shermatova

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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.

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K. K. Abdurasulov, Z. Kh. Shermatova. 2022-03-31. Leibniz algebras whose solvable ideal is the maximal extension of the nilradical. https://arxiv.org/abs/2203.16967

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