Solvable Leibniz Algebras with Filiform Nilradical

Abstract

In this paper, we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra are known. Here, we extend the description to solvable Leibniz algebras whose nilradical is a filiform algebra. Moreover, we establish that solvable Leibniz algebras with filiform Lie nilradical are Lie algebras.