Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras-Reference-Cited by-同舟云学术

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

Published:2021-06-01 Issue:2 Volume:29 Page:187-213
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Abdurasulov K.K.¹,Khudoyberdiyev A. Kh.²,Ladra M.³,Sattarov A.M.¹

Affiliation:

1. V.I. Romanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan , Tashkent , , Uzbekistan

2. National University of Uzbekistan , Tashkent , , V.I. Romanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan , Tashkent , , Uzbekistan

3. Department of Mathematics, Institute of Mathematics, Campus Vida , University of Santiago de Compostela , , Spain

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0018

Reference26 articles.

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