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

Autor(es)

Carrillo-Catalan, Ramiro ; Rasskazova, Marina ; Sabinina, Liudmila

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 48, n. 2, p. 6-pg., 2019-10-01.

Resumo

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)

• Processo FAPESP: 15/07245-4 - Loops de Moufang e as álgebras de Malcev
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 18/11292-6 - Loops de Moufang e as álgebras relacionadas
• Beneficiário: Henrique Guzzo Junior
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional