Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

Published 1 Apr 2021 in math.RA | (2104.00557v2)

Abstract: In the paper the class of all solvable extensions of a filiform Leibniz algebra in the infinite-dimensional case is classified. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivial.

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