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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.

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  1. Group theory
  2. Fields of abstract algebra
  3. Fields of mathematics
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