Commutative Moufang loops and alternative algebras

Details Commutative Moufang loops and alternative algebras Commutative Moufang loops and alternative algebras

2008-11-24

arxiv.org/abs/0811.3787v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

We compute the orders of free commutative Moufand loops of exponent 3 with
$n\leq 7$ free generators and find embeddings of such loops into a loop of
invertible elements of the free commutative alternative algebra with identity
$x^3=0$.

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