\begin{definition}[Definition:Antiassociative Structure]
Let $\left({S, \circ}\right)$ be an algebraic strcuture.
Then $\left({S, \circ}\right)$ is an '''antiassociative structure''' {{iff}} $\circ$ is an antiassociative operation.
That is, {{iff}}:
:$\forall x, y, z \in S: \left({x \circ y}\right)\circ z \ne x \circ \left({y \circ z}\right)$
\end{definition}