An algebra antiassociative if (xy)z = -x(yz) for every case of x,y, and z.
https://books.google.com/books?id=_PEWt18egGgC&pg=PA235&lpg=PA235&dq=%22antiassociative%22+algebra+aplications&source=bl&ots=Atxm0cdUVs&sig=OQjjF3ig6NYCQwP6O9P8fLgwSDE&hl=en&sa=X&ved=2ahUKEwix94P66LPdAhVIu1MKHckzBNQQ6AEwCHoECAYQAQ#v=onepage&q=%22antiassociative%22%20algebra%20aplications&f=false