About the embedding of Moufang loops in alternative algebras

Abstract

It is proved that any free Moufang loop can be embedded in a loop of invertible elements of some alternative algebra.

10 pages

References in corpus (1)

• The classification on simple Moufang loops

Cited by in corpus (3)

• Paradigm of Nonassociative Hom-algebras and Hom-superalgebras
• Hom-alternative algebras and Hom-Jordan algebras
• Radicals and embeddings of Moufang loops in alternative loop algebras