Classification of solvable Leibniz algebras with null-filiform nilradical |
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| Authors: | JM Casas M Ladra BA Omirov IA Karimjanov |
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| Institution: | 1. Department of Applied Mathematics , University of Vigo , E.U.I.T. Forestal, Pontevedra 36005 , Spain jmcasas@uvigo.es;3. Department of Algebra , University of Santiago de Compostela , Santiago de Compostela 15782 , Spain;4. Institute of Mathematics and Information Technologies of Academy of Uzbekistan , 29, Do'rmon yo'li street, 100125 Tashkent , Uzbekistan |
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| Abstract: | 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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| Keywords: | Leibniz algebra null-filiform algebra solvability nilpotence nilradical |
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