On some classes of solvable Leibniz algebras and their completeness

DOI10.1016/J.JALGEBRA.2022.07.018OpenAlexW4289260422WikidataQ122884816 ScholiaQ122884816MaRDI QIDQ2675068

K. K. Abdurasulov, Isamiddin S. Rakhimov, Bakhrom A. Omirov

Publication date: 20 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02776

zbMATH Keywords

derivationnilradicalLeibniz algebrasolvable algebracomplete algebra

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• The classification of 4-dimensional Leibniz algebras
• Classification of Lie algebras with naturally graded quasi-filiform nilradicals
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• On a complete rigid Leibniz non-Lie algebra in arbitrary dimension
• Complete Leibniz algebras
• On classification of 5-dimensional solvable Leibniz algebras
• The Classification of Naturally Gradedp-Filiform Leibniz Algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• Solvable Lie Algebras with Quasifiliform Nilradicals
• Solvable Lie algebras with an \mathbb {N}-graded nilradical of maximal nilpotency degree and their invariants
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Abelian nilradicals
• Solvable Leibniz algebras with naturally graded non-Liep-filiform nilradicals
• Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³
• Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical
• Solvable Lie algebras with maximal dimension of complementary space to nilradical
• Classification of solvable Leibniz algebras with null-filiform nilradical
• On Levi–Malcev theorem for Leibniz algebras
• A Theory of Subinvariant Lie Algebras

This page was built for publication: On some classes of solvable Leibniz algebras and their completeness