K.K. Abdurasulov ; A. Kh. Khudoyberdiyev ; M. Ladra ; A.M. Sattarov - Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras

cm:9537 - Communications in Mathematics, July 15, 2021, Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga) - https://doi.org/10.2478/cm-2021-0018
Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebrasArticle

Authors: K.K. Abdurasulov ; A. Kh. Khudoyberdiyev ORCID; M. Ladra ; A.M. Sattarov

    In this paper we give the description of some non-strongly nilpotent Leibniz algebras. We pay our attention to the subclass of nilpotent Leibniz algebras, which is called filiform. Note that the set of filiform Leibniz algebras of fixed dimension can be decomposed into three disjoint families. We describe the pre-derivations of filiform Leibniz algebras for the first and second families and determine those algebras in the first two classes of filiform Leibniz algebras that are non-strongly nilpotent.

    https://doi.org/10.2478/cm-2021-0018
    Source: HAL:hal-03665020v1
    Volume: Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)
    Published on: July 15, 2021
    Imported on: May 11, 2022
    Keywords: [MATH]Mathematics [math]
    Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

    2 Documents citing this article

    Share and export

    Consultation statistics

    This page has been seen 486 times.
    This article's PDF has been downloaded 113 times.