Leibniz algebras whose solvable ideal is the maximal extension of the nilradical (2203.16967v1)

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.