About the embedding of Moufang loops in alternative algebras

2008/04/03 by N. I. Sandu, Nicolae Sandu, Sandu, Nicolae
Engineering · Mathematics · #17D05 #20N05 #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.RA #msc:17D05 #msc:20N05

paper · pdf · doi:10.48550/arxiv.0804.0597

10 pages

arxiv created 2008/04/03 · openalex publication_date 2008/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The classification on simple Moufang loops

Related

• Simple Moufang loops and alternative algebras
• Radicals and embeddings of Moufang loops in alternative loop algebras
• About the embedding of Moufang loops in alternative algebras II
• Commutative Moufang loops and alternative algebras
• Steiner Loops Satisfying the Statement of Moufang's Theorem