A Bol identity is a specific algebraic identity involving a binary operation, which is essential in the study of certain types of loops, particularly Bol loops. This identity is used to characterize the structure of Bol loops by expressing the relationship between the operation and its properties, highlighting how elements interact in a way that maintains specific associative-like behaviors without requiring full associativity. Understanding Bol identities is crucial for examining the properties of both Bol loops and related structures like Moufang loops.
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