Definition:Antiassociative Structure

Definition

Let $\left({S, \circ}\right)$ be an algebraic strcuture.

Then $\left({S, \circ}\right)$ is an antiassociative structure if and only if $\circ$ is an antiassociative operation.

That is, if and only if:

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

Also see

• Example:Antiassociative Structure

• Results about antiassociative structures can be found here.