Algebra Logika, 2019 Volume 58, Number 4, Pages 458–466
(Mi al908)
An isotopically invariant property of automorphic Moufang loops A. N. Grishkov ab ,
M. N. Rasskazova c ,
L. L. Sabinina d a Instituto de Matemática e Estatísitica, Universidade de São Paulo,
Rua de Matão 1010, São Paulo, 05508-090, BRASIL b Omsk State University c Omsk State Technical University d Universidad Autonoma del Estado de Morelos, Av.
Universidad 1001, Cuernavaca, 62209, MEXICO Abstract:
We describe a maximal variety
$\mathfrak W$ of automorphic Moufang
loops such that for every loop
$A$ in the variety
$\mathfrak W$ , any
loop isotopic to
$A$ also lies in
$\mathfrak W$ .
Keywords:
automorphic Moufang loop, variety,
isotope.
UDC:
512.548.77 Received: 20.04.2018
Revised: 08.11.2019
DOI:
10.33048/alglog.2019.58.402
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