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Algebra i logika, 2019, Volume 58, Number 4, Pages 458–466
DOI: https://doi.org/10.33048/alglog.2019.58.402 (Mi al908) 		 
An isotopically invariant property of automorphic Moufang loops

A. N. Grishkovab, M. N. Rasskazovac, L. L. Sabininad

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
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DOI: https://doi.org/10.33048/alglog.2019.58.402
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.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00239_а
Fundação de Amparo à Pesquisa do Estado de São Paulo
2018/11292-6
2015/07245-4
National Council for Scientific and Technological Development (CNPq)
FORDECyT 255667
Ministry of Education and Science of the Russian Federation 2.9314.2017
A. N. Grishkov Supported by RFBR (project No. 13-01-00239), by FAPESP, CNPq, and FORDECyT (grant No. 255667). M. N. Rasskazova Supported by RF Ministry of Education and Science (project No. 2.9314.2017) and by FAPESP grant (process 2018/11292-6). L. L. Sabinina Supported by SNI and FAPESP grant (process 2015/07245-4).
Received: 20.04.2018
Revised: 08.11.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 4, Pages 306–312
DOI: https://doi.org/10.1007/s10469-019-09551-1
Bibliographic databases:
Document Type: Article
UDC: 512.548.77
Language: Russian
Citation: A. N. Grishkov, M. N. Rasskazova, L. L. Sabinina, “An isotopically invariant property of automorphic Moufang loops”, Algebra Logika, 58:4 (2019), 458–466; Algebra and Logic, 58:4 (2019), 306–312
Citation in format AMSBIB
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\paper An isotopically invariant property of automorphic Moufang loops
\jour Algebra Logika
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\vol 58
\issue 4
\pages 458--466
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\crossref{https://doi.org/10.33048/alglog.2019.58.402}
\transl
\jour Algebra and Logic
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\vol 58
\issue 4
\pages 306--312
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