Author:
Chein Orin,Goodaire Edgar G.
Abstract
AbstractCall a non-Moufang Bol loop minimally non-Moufang if every proper subloop is Moufang and minimally nonassociative if every proper subloop is associative. We prove that these concepts are the same for Bol loops which are nilpotent of class two and in which certain associators square to 1. In the process, we derive many commutator and associator identities which hold in such loops.
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Some Varieties of Loops (Bol-Moufang and Non-Bol-Moufang Types);Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures;2023
2. When Is a Bol Loop Moufang?;Algebra Colloquium;2012-10-31
3. A new construction of Bol loops of order 8k;Journal of Algebra;2005-05