A Generalization of Moufang and Steiner Loops
Michael K. Kinyon, Kenneth Kunen, J. D. Phillips
Abstract
We study a variety of loops, RIF, which arise naturally from considering inner mapping groups, and a somewhat larger variety, ARIF. All Steiner and Moufang loops are RIF, and all flexible C-loops are ARIF. We show that all ARIF loops are diassociative, thus generalizing Moufang's Theorem.
Create a lesson
Related papers
The variety generated by all additively idempotent semirings of order four
Mengya Yue, Xiaolei Shao
Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
Jiaping Lu
Kernel--wreath constructions and infinite families of finite simple skew braces
Marco Damele
Explicit equational bases for the power semirings of S7
Mengya Yue, Miaomiao Ren, Zidong Gao
The free multiplicative Lie algebra L(P) for a finitely generated parafree group P
Dessislava H. Kochloukova
An order automorphism of a Dlab group not induced by conjugation
Ting Gong, Yong Yang, Michael Ruofan Zeng