  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.
