Two-step nilpotent varieties of loops of exponent two

Two-step nilpotent varieties of loops of exponent two Full article

Journal

Sao Paulo Journal of Mathematical Sciences
ISSN: 1982-6907 , E-ISSN: 2316-9028

Output data

Year: 2026, Volume: 20, Number: 2, DOI: 10.1007/s40863-026-00547-1

Tags

Nilpotent loops

Authors

Grishkov Alexander ^1,2 , Rasskazova Marina ^3,4 , Sabinina Liudmila ⁵

Affiliations

1	Sobolev Institute of Mathematics, Omsk, Russia
2	University of Sao Paulo, Sao Paulo, Brazil
3	ABC Federal University, Sao Paulo, Santo Andre, Brazil
4	Siberian State Automobile and Highway University, Omsk, Russia
5	Autonomous University of the State of Morelos, Cuernavaca, Morelos, Mexico

Funding (1)

Министерство науки и высшего образования РФ

FWNF-2026-0033

In this article, we describe all rank-two varieties of nilpotent class-two loops of exponent two. Recall that a variety has rank two if it can be defined by identities involving two variables.

Grishkov A. , Rasskazova M. , Sabinina L.
Two-step nilpotent varieties of loops of exponent two
Sao Paulo Journal of Mathematical Sciences. 2026. V.20. N2. DOI: 10.1007/s40863-026-00547-1 WOS Scopus OpenAlex

Submitted:	Jul 12, 2025
Accepted:	Jun 4, 2026
Published online:	Aug 7, 2026

≡ Web of science:	WOS:001842963900001
≡ Scopus:	2-s2.0-105046802470
≡ OpenAlex:	W7201861865