On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
Abror KhudoyberdiyevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, UzbekistanM. LadraDepartment of Algebra, University of Santiago de Compostela, Santiago de Compostela, SpainB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, Uzbekistan
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Abstract
In this paper, we continue the investigation of complex finite-dimensional solvable Leibniz algebras with nilradical , where are ideals of maximal nilindex of the nilradical. The multiplication tables of such solvable algebras with restrictions to structural constants are obtained. In the case when the complemented space to the nilradical is one-dimensional, we present a multiplication table without any restrictions to structural constants. The classification of solvable Leibniz algebras, whose dimension of the complemented vector space to the nilradical is equal to s, is also given. Moreover, the description of solvable Leibniz algebras with the condition of each is ideal of the algebra is presented.
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