Moufang Theorem for a variety of local non-Moufang loops

2017/03/04 by Carrillo-Catalán, Ramiro, Sabinina, Liudmila, Rasskazova, Marina
#17D10 #20N05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1703.01371

Abstract

An open problem in theory of loops is to find the variety of non- Moufang loops satisfying the Moufang Theorem. In this note, we present a variety of local smooth diassociative loops with such property.

Related

• Steiner Loops Satisfying the Statement of Moufang's Theorem
• A Generalization of Moufang and Steiner Loops
• Every diassociative A-loop is Moufang
• Simple Moufang loops and Galois extensions
• About the embedding of Moufang loops in alternative algebras