Links among characteristically nilpotent, c-graded and derived filiform lie algebras

Description

The aim of this paper is to study the interconnectivity among Lie algebras that are characteristically nilpotent, derived and c-graded filiform, establishing some characterization theorems involving them. At the same time we offer an algorithm that will allow us to know, given a complex filiform Lie algebra, which of those properties hold.

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