Тамаддун нури Volume 6 Issue 81 (2026) · pp. 25-27
ONE-DIMENSIONAL SOLVABLE EXTENSION OF AN (N+2)-DIMENSIONAL MODEL FILIFORM N-LIE ALGEBRA
Beshimova, Shahnoza, Бешимова, Шахноза, Beshimova, Shahnoza
Abstract
This paper presents a theoretical study of one-dimensional solvable extensions of ( )-dimensional model filiform n-Lie algebras. The structural properties of model filiform n-Lie algebras, their derivation spaces, and methods for constructing one-dimensional solvable extensions are analyzed. Based on recent advances in the literature, the classification of model filiform algebras, their algebraic invariants, and the role of derivations in extension theory are discussed. The results demonstrate that the derivation algebra serves as the principal tool for describing one-dimensional solvable extensions.
n-Lie, filiform, derivatsiya, kengaytma, yechiluvchanlik, klassifikatsiya, kohomologiya, deformatsiya, invariant, nilpotentlik.n-алгебра, филиформность, деривация, расширение, разрешимость, классификация, когомология, деформация, инвариант, нильпотентность.n-Lie, filiform, derivatsiya, kengaytma, yechiluvchanlik, klassifikatsiya, kohomologiya, deformatsiya, invariant, nilpotentlik.
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