Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations

Full text
Author(s):
Kaygorodov, Ivan [1, 2, 3] ; Popov, Yu. [2, 4]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, BR-05508 Sao Paulo - Brazil
[2] Sobolev Inst Math, Novosibirsk - Russia
[3] Univ Fed ABC, CMCC, Santo Andre - Brazil
[4] Novosibirsk State Univ, Novosibirsk - Russia
Total Affiliations: 4
Document type: Journal article
Source: Journal of Algebra; v. 456, p. 323-347, JUN 15 2016.
Web of Science Citations: 5
Abstract

Moens proved that a finite-dimensional Lie algebra over a field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation. In this article we prove the analogous results for finite-dimensional Malcev, Jordan, (-1,1)-, right alternative, Zinbiel and Malcev-admissible noncommutative Jordan algebras over a field of characteristic zero. Also, we describe all Leibniz-derivations of semisimple Jordan, right alternative and Malcev algebras. (C) 2016 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/24519-8 - Generalized derivations of non associative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants