Category:Examples of Associative Operations

This category contains examples of Associative Operation.

Let $S$ be a set.

Let $\circ : S \times S \to S$ be a binary operation.

Then $\circ$ is associative if and only if:

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