Definition:Antiassociative Structure

Definition
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:


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

Also see

 * Example:Antiassociative Structure