Commutative Moufang loops and alternative algebras
Rings and Algebras
2008-11-25 v1 Combinatorics
Abstract
We compute the orders of free commutative Moufand loops of exponent 3 with free generators and find embeddings of such loops into a loop of invertible elements of the free commutative alternative algebra with identity .
Keywords
Cite
@article{arxiv.0811.3787,
title = {Commutative Moufang loops and alternative algebras},
author = {Alexander N. Grishkov and Ivan P. Shestakov},
journal= {arXiv preprint arXiv:0811.3787},
year = {2008}
}
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15 pages