Camacho Santana, Luisa MaríaKaygorodov, IvanOmirov, Bakhrom AbdazovichSolijanova, Gulkhayo2021-07-052021-07-052020Camacho Santana, L.M., Kaygorodov, I., Omirov, B.A. y Solijanova, G. (2020). Some cohomologically rigid solvable Leibniz algebras. Journal of Algebra, 560 (October 2020), 502-520.0021-8693https://hdl.handle.net/11441/115106In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique and centerless. Also it is proved that the first and the second cohomology groups of the algebra with coefficients in the adjoint representation is trivial.application/pdf14engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Lie algebrasLeibniz algebraNilpotent radicalCharacteristic sequenceSolvable algebraDerivations2-CocycleRigid algebrainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jalgebra.2020.05.033