Category:Definitions/Associativity

This category contains definitions related to Associativity.
Related results can be found in Category:Associativity.

Let $S$ be a set.

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

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

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