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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

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Author(s):
Grishkov, Alexander [1, 2] ; Rasskazova, Marina [3] ; Sabinina, Liudmila [4] ; Salim, Mohamed [5]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Sao Paulo - Brazil
[2] Omsk State Univ, Omsk - Russia
[3] Omsk State Tech Univ, Omsk - Russia
[4] UAEM, Ctr Invest Ciencias, Cuernavaca, Morelos - Mexico
[5] United Arab Emirates Univ, Al Ain - U Arab Emirates
Total Affiliations: 5
Document type: Journal article
Source: Journal of Algebra; v. 575, p. 67-77, JUN 1 2021.
Web of Science Citations: 0
Abstract

In this note we describe the structure of finite-dimensional Malcev algebras over the field of real numbers R, which are nilpotent modulo its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent modulo their nucleus. (C) 2021 Published by Elsevier Inc. (AU)

FAPESP's process: 19/24418-0 - Restricted Burnside problem, reductive Moufang Loops and their tangent algebras
Grantee:Alexandre Grichkov
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support type: Research Projects - Thematic Grants
FAPESP's process: 18/11292-6 - Moufang Loops and related algebras
Grantee:Henrique Guzzo Junior
Support type: Research Grants - Visiting Researcher Grant - International