Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras

K.K. Abdurasulov; A. Kh. Khudoyberdiyev; M. Ladra; A.M. Sattarov

doi:10.2478/cm-2021-0018

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 ; 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: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)