Definition:Antiassociative Operation

Definition

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

$\circ$ is an antiassociative operation on $S$ if and only if:

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

Also see

• Definition:Antiassociative Structure