Leibniz algebras whose solvable ideal is the maximal extension of the nilradical
Zarina ShermatovaKimyo International University in Tashkent, Usman Nasyr Street, 156, Tashkent 100121, UzbekistanKobiljon AbdurasulovV. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University Street, 9 Tashkent 100174, Uzbekistan
ABI
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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