Source: wikibot/moufang-loop
= Moufang loop
{wiki=Moufang_loop}
A **Moufang loop** is a structure in the field of algebra, specifically in the study of non-associative algebraic systems. A Moufang loop is defined as a set \\( L \\) equipped with a binary operation (often denoted by juxtaposition) that satisfies the following Moufang identities: 1. \\( x(yz) = (xy)z \\) 2. \\( (xy)z = x(yz) \\) 3.