eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2021-07-15
Volume 29 (2021), Issue 2...
10.2478/cm-2021-0018
9537
journal article
Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras
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://cm.episciences.org/9537/pdf
General Mathematics
[MATH]Mathematics [math]