Classification of solvable Leibniz algebras with null-filiform nilradical
J. M. CasasDepartment of Applied Mathematics , University of Vigo , E.U.I.T. Forestal, Pontevedra 36005 , SpainM. LadraDepartment of Algebra , University of Santiago de Compostela , Santiago de Compostela 15782 , SpainB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan , 29, Do'rmon yo'li street, 100125 Tashkent , UzbekistanI. A. KarimjanovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan , 29, Do'rmon yo'li street, 100125 Tashkent , Uzbekistan
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Аннотация
In this article we classify solvable Leibniz algebras whose nilradical is a null-filiform algebra. We extend the obtained classification to the case when the solvable Leibniz algebra is decomposed as a direct sum of its nilradical, which is a direct sum of null-filiform ideals and a one-dimensional complementary subspace. Moreover, in this case we establish that these ideals are ideals of the algebra as well.
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