Solvable Leibniz algebras with naturally graded non-Lie <i>p</i>-filiform nilradicals whose maximal complemented space of its nilradical
J. Q. AdashevInstitute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, UzbekistanL.M. CamachoDpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla SpainB. A. OmirovAlgebra and Analysis, National University of Uzbekistan, University str., Tashkent, Uzbekistan
ABI
Аннотация
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 p-filiform non-Lie Leibniz algebra (n−p≥4) and the complemented space to nilradical has maximal dimension, are described up to isomorphism. Moreover, among obtained algebras we indicate the rigid and complete algebras.
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