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.

arXiv comment10 pages

References in corpus (1)

• The classification on simple Moufang loops

Cited by in corpus (5)

• Paradigm of Nonassociative Hom-algebras and Hom-superalgebras
• Hom-alternative algebras and Hom-Jordan algebras
• Cohomology and Formal Deformations of Left Alternative Algebras
• Simple Moufang loops and Galois extensions
• Radicals and embeddings of Moufang loops in alternative loop algebras