“…• The classifications of the solvable Leibniz algebra with the nilradicals L 1 n , L 2 n , L 3 n , L 4 n and L 5 n are stated in papers in papers [19], [20], [19], [21] and [22], respectively.…”
Section: • the Classifications Of The Solvable Leibniz Algebras With ...mentioning
confidence: 99%
“…The analogue of Mubarakzjanov's result has been applied to the Leibniz algebras in [11], showing the importance of consideration of the nilradical in the case of Leibniz algebras as well. Papers [2,3,11,14,[19][20][21][22] are also devoted to the study of solvable Leibniz algebras by considering the nilradical.…”
The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded quasi-filiform algebra and the complemented space to the nilradical has one dimension, are described up to isomorphism.
“…• The classifications of the solvable Leibniz algebra with the nilradicals L 1 n , L 2 n , L 3 n , L 4 n and L 5 n are stated in papers in papers [19], [20], [19], [21] and [22], respectively.…”
Section: • the Classifications Of The Solvable Leibniz Algebras With ...mentioning
confidence: 99%
“…The analogue of Mubarakzjanov's result has been applied to the Leibniz algebras in [11], showing the importance of consideration of the nilradical in the case of Leibniz algebras as well. Papers [2,3,11,14,[19][20][21][22] are also devoted to the study of solvable Leibniz algebras by considering the nilradical.…”
The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded quasi-filiform algebra and the complemented space to the nilradical has one dimension, are described up to isomorphism.
“…Bosko-Dunbar, Dunbar, Hird and Stagg attempted to classify left solvable Leibniz algebras with Heisenberg nilradical [5]. Left and right solvable extensions of R 18 [1], L 1 , L 2 and L 3 [6] over the field of real numbers were found by Shabanskaya in [22,23,24].…”
For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type L 4 introduced by Camacho, Gómez, González and Omirov, all the possible right solvable indecomposable extensions over the field C are constructed.
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