  Since Leibniz algebras were introduced by Loday as a generalization of Lie
algebras, there has been a lot of interest in which results of the latter
extend to the former. Cyclic algebras, those generated by one element, are a
useful tool for studying these concepts. In fact, they have no Lie algebra
counterpart. Their simple structure lends itself to elegant counterexamples to
the extension of several important results from Lie algebras to Leibniz
algebras. In this paper, we give a classification of cyclic Leibniz algebras.
