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Free Bol loops of exponent two

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Author(s):
Grishkov, A. ; Rasskazova, M. ; Dos Anjos, G. Souza
Total Authors: 3
Document type: Journal article
Source: Journal of Algebra; v. 628, p. 17-pg., 2023-04-18.
Abstract

A Bol loop is a loop that satisfies the identity x((yz)y) = ((xy)z)y. In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all their elements and describe their multiplication law based on this form. (c) 2023 Published by Elsevier Inc. (AU)

FAPESP's process: 21/12820-9 - Loops and related algebras
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants