Open AccessPre-derivations and description of non-strongly nilpotent filiform Leibniz algebras
Author(s) -
Kobiljon Abdurasulov,
A. Kh. Khudoyberdiyev,
M. Ladra,
Aloberdi Sattarov
Publication year - 2021
Publication title -
communications in mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.154
H-Index - 5
eISSN - 2336-1298
pISSN - 1804-1388
DOI - 10.2478/cm-2021-0018
Subject(s) - nilpotent , mathematics , pure mathematics , disjoint sets , dimension (graph theory) , set (abstract data type) , algebra over a field , discrete mathematics , computer science , programming language
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.