Definition:Antiassociative Structure
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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
- Results about antiassociative structures can be found here.