Definition:Antiassociative Operation

Definition
Let $\circ$ be a binary operation on the set $S$.

$\circ$ is an antiassociative operation on $S$ iff:


 * $\forall x, y, z \in S: \left({x \circ y}\right)\circ z \ne x \circ \left({y \circ z}\right)$

Also see

 * Antiassociative Structure