Definition:Antiassociative Operation

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

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


 * $\forall x, y, z \in S: \paren {x \circ y} \circ z \ne x \circ \paren {y \circ z}$

Also see

 * Definition:Antiassociative Structure