Maximal solvable extensions of m-dimensional some n-Lie algebras
This paper is devoted to the construction of maximal solvable extensions of m-dimensional
n-Lie algebras. The study provides a systematic approach to identifying and classifying such
extensions within the framework of higher-order Lie structures. The results contribute to the deeper
understanding of the algebraic properties of n-Lie algebras and their solvable extensions, and may
serve as a basis for further applications in both mathematics and theoretical physics.
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