Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

In the paper we describe the class of all solvable extensions of an infinite-dimensional filiform Leibniz algebra. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of a residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivial. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

The paper investigates the class of all solvable extensions of an infinite-dimensional filiform Leibniz algebra, where the second cohomology group of the extension is proven to be trivial.