On classification of 5-dimensional solvable Leibniz algebras

DOI10.1016/j.laa.2014.05.034zbMath1352.17004OpenAlexW2120922689WikidataQ123266176 ScholiaQ123266176MaRDI QIDQ2250783

Sh. K. Said Husain, Isamiddin S. Rakhimov, A. Kh. Khudoyberdiyev

Publication date: 21 July 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.05.034

zbMATH Keywords

solvabilityderivationnilpotencynilradical5-dimensional solvable Leibniz algebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (18)

Description of solvable Leibniz algebras with four-dimensional nilradical ⋮ On classification problem of Loday algebras ⋮ One-generated nilpotent Novikov algebras ⋮ On metric Leibniz algebras and deformations ⋮ On some classes of solvable Leibniz algebras and their completeness ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras ⋮ Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras ⋮ Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ Minimal nonnilpotent Leibniz algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ Residually solvable extensions of an infinite dimensional filiform Leibniz algebra ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Leibniz algebras as non-associative algebras ⋮ Classification of (2n−1)-dimensional solvable Leibniz algebras with n-dimensional nilradical ⋮ Right and left solvable extensions of an associative Leibniz algebra

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