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On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras

  • A. Kh Khudoyberdiyev
  • , M. Ladra*
  • , B. A. Omirov
  • *Corresponding author for this work
  • Institute of Mathematics and Information Technologies of Academy of Uzbekistan
  • University of Santiago de Compostela

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we continue the investigation of complex finite-dimensional solvable Leibniz algebras with nilradical (Formula presented.) , where (Formula presented.) are ideals of maximal nilindex of the nilradical. The multiplication tables of such solvable algebras with restrictions to structural constants are obtained. In the case when the complemented space to the nilradical is one-dimensional, we present a multiplication table without any restrictions to structural constants. The classification of solvable Leibniz algebras, whose dimension of the complemented vector space to the nilradical is equal to s, is also given. Moreover, the description of solvable Leibniz algebras with the condition of each (Formula presented.) is ideal of the algebra is presented.

Original languageEnglish
Pages (from-to)1220-1239
Number of pages20
JournalLinear and Multilinear Algebra
Volume62
Issue number9
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Leibniz algebra
  • derivation
  • nilpotency
  • nilradical
  • null-filiform Leibniz algebra
  • solvability

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