Classification of solvable Leibniz algebras with null-filiform   nilradical
  In this paper 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. 
J. M. Casas, M. Ladra, B. A. Omirov and I.A. Karimjanov
math.RA