On some solvable Leibniz algebras and their completeness

DOI10.1016/J.JALGEBRA.2022.07.018arXiv2201.02776WikidataQ122884816 ScholiaQ122884816MaRDI QIDQ6387762

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

Publication date: 8 January 2022

Abstract: The paper is devoted studying solvable Leibniz algebras with a nilradical possessing the codimension equals the number of its generators. We describe this class in non-split nilradical case. Then the case of split nilradical is worked out. We show that the results obtained earlier on this class of Leibniz algebras come as particular cases of the results of this paper. It is shown that such a solvable extension is unique. Finally, we prove that the solvable Leibniz algebras considered are complete.

Mathematics Subject Classification ID

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

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