On the endomorphisms and derivations of some Leibniz algebras.

We study the endomorphisms and derivations of an infinite-dimensional cyclic Leibniz algebra. Among others it was found that if L is a cyclic infinite-dimensional Leibniz algebra over a field F , then the group of all automorphisms of L is isomorphic to a multiplicative group of the field F. The description of an algebra of derivations of a cyclic infinite-dimensional Leibniz algebra has been obtained. [ABSTRACT FROM AUTHOR]