Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type<i>ℒ</i>²

For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type ℒ2 introduced by Camacho, Gómez, González and Omirov, all possible right and left solvable indecomposable extensions over the field ℝ are constructed so that the algebra serves as the nilradical of the corresponding solvable Leibniz algebras we find in the paper.

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