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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.)

Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0

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Author(s):
Garza, Oscar Guajardo [1] ; Rasskazova, Marina [2] ; Sabinina, Liudmila [1]
Total Authors: 3
Affiliation:
[1] UAEM, Ctr Invest Ciencias, Cuernavaca, Morelos - Mexico
[2] Omsk State Tech Univ, Pr Mira 11, Omsk - Russia
Total Affiliations: 2
Document type: Journal article
Source: ALGEBRA COLLOQUIUM; v. 28, n. 1, p. 87-90, MAR 2021.
Web of Science Citations: 0
Abstract

We study the variety of binary Lie algebras defined by the identities x2 = J(x,y,zu) =0, where J(a,b,c) denotes the Jacobian of a, b, c. Building on previous work by Carrillo, Rasskazova, Sabinina and Grishkov, in the present article it is shown that the Levi and Malcev theorems hold for this variety of algebras. (AU)

FAPESP's process: 15/07245-4 - Moufang Loops and Malcev algebras
Grantee:Alexandre Grichkov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/11292-6 - Moufang Loops and related algebras
Grantee:Henrique Guzzo Junior
Support Opportunities: Research Grants - Visiting Researcher Grant - International