# L16: ASSOCIATOR AND MOUFANG IDENTITIES

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

ASSOCIATOR AND MOUFANG IDENTITIES
Compute the associator [a,b,c] = (a*b)*c - a*(b*c) for selected triples of Os basis elements. Verify the Moufang identity: (a*b)*(c*a) = a*((b*c)*a). Show the associator is non-zero for generic elements (confirming non-associativity). Identify which triples give zero associator (associative triples). Relate to color confinement sector. #SuperGrokTOE #Moufang #NonAssociativity