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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.)

The Moufang theorem for all analytic loops from a non-Moufang variety of loops

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Author(s):
Carrillo-Catalan, Ramiro [1] ; Rasskazova, Marina [2] ; Sabinina, Liudmila [3]
Total Authors: 3
Affiliation:
[1] Univ Pedag Nacl, CONACyT, Unidad 201, Oaxaca - Mexico
[2] Omsk State Tech Univ, Omsk - Russia
[3] UAEM, Ctr Invest Ciencias, Cuernavaca, Morelos - Mexico
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; OCT 2019.
Web of Science Citations: 0
Abstract

A loop Q satisfies the Moufang theorem if Q possesses the following property: let be associate, that is then x, y, z generate a subgroup of Q. It remains an open problem in the theory of loops to find a non-Moufang variety of loops satisfying the Moufang Theorem. We describe the non-Moufang varieties B-n of diassociative loops such that all analytic loops from B-n satisfy the above mentioned property. (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